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Analysis Research Articles

Instability of solitary waves for a generalized Benney–Luke equation
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Multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields and critical frequency
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Some quasinilpotent generators of the hyperfinite II1 factor
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A variational treatment for general elliptic equations of the flame propagation type: regularity of the free boundary
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Blow-up solutions of the self-dual Chern–Simons–Higgs vortex equation
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Adaptive wavelet methods using semiorthogonal spline wavelets: Sparse evaluation of nonlinear functions
Fulltext Access 26 Pages 2008
Shift-invariant spaces from rotation-covariant functions
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Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques
Fulltext Access 26 Pages 2008
Ul’yanov-type inequality for bounded convex sets in RdRd
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Multivariate L∞ approximation in the worst case setting over reproducing kernel Hilbert spaces
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Widths of embeddings in function spaces
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On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems
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Global solutions for initial–boundary value problem of quasilinear wave equations
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Kolmogorov Theorem revisited
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A diffusive competition model with a protection zone
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Necessary and sufficient conditions for Hopf bifurcation in exponential RED algorithm with communication delay
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Slowly oscillating wave solutions of a single species reaction–diffusion equation with delay
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Reaction–diffusion systems coupled at the boundary and the Morse–Smale property
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On asymptotic behavior of solutions to Korteweg–de Vries type equations related to vortex filament with axial flow
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Bifurcation analysis of a plant–herbivore model with toxin-determined functional response
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Effective Prüfer angles and relative oscillation criteria
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Conley index for random dynamical systems
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Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups
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Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction–diffusion equations
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Weighted Lp theory of the Stokes and the bilaplacian operators in the half-space
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Single and multi-solitary wave solutions to a class of nonlinear evolution equations
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On the theory of convolution equations of the third kind, II
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Some exact solutions of the ideal MHD equations through symmetry reduction method
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Exact controllability of nonlinear diffusion equations arising in reactor dynamics
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Stability of a 4th-order curvature condition arising in optimal transport theory
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Integral representation of renormalized self-intersection local times
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Relatively spectral morphisms and applications to K-theory
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Homogenization of periodic linear degenerate PDEs
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Global structure stability of Riemann solutions for general hyperbolic systems of conservation laws in the presence of a boundary
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Isometry theorem for the Segal–Bargmann transform on a noncompact symmetric space of the complex type
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Uniqueness for weak solutions of a one-dimensional boundary value problem for the Vlasov–Poisson system
Fulltext Access 27 Pages 2008
Decay rates to the planar rarefaction waves for a model system of the radiating gas in n dimensions
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Well-posedness of the IBVP for 2-D Euler equations with damping
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Some examples of compact composition operators on H2
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Rademacher averages on noncommutative symmetric spaces
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Stability of contact discontinuity for Jin–Xin relaxation system
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Existence and asymptotic behavior of positive solutions for an inhomogeneous semilinear elliptic equation
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The Banach–Lie algebra of multiplication operators on a JBW∗-triple
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A highly unstable initial value boundary value problem
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Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials
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Elastic and electro-magnetic waves in infinite waveguides
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Existence and continuation of solutions for a nonlinear Neumann problem
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Time analyticity and backward uniqueness of weak solutions of the Navier–Stokes equations of multidimensional compressible flow
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A new transform for solving the noisy complex exponentials approximation problem
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Sharp Jackson inequalities
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Operators associated with soft and hard spectral edges from unitary ensembles
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Normality and modulability indices. Part I: Convex cones in normed spaces
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Energy concentration for the Landau–Lifshitz equation
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Singular limits for the bi-Laplacian operator with exponential nonlinearity in R4R4
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Energies of S2-valued harmonic maps on polyhedra with tangent boundary conditions
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Generalized Hörmander's conditions, commutators and weights
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Morse index properties of colliding solutions to the N-body problem
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Properties of the density for a three-dimensional stochastic wave equation
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Detecting highly oscillatory signals by chirplet path pursuit
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Matrix Riemann–Hilbert problems and factorization on Riemann surfaces
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Closed characteristics on singular energy levels of second-order Lagrangian systems
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Bistable wavefronts in a diffusive and competitive Lotka–Volterra type system with nonlocal delays
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A class of C∗-algebras generalizing both graph algebras and homeomorphism C∗-algebras IV, pure infiniteness
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Sharp embeddings of Besov spaces involving only logarithmic smoothness
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Eigenvalue bracketing for discrete and metric graphs
Fulltext Access 28 Pages 2008
Well-posedness for a transport equation with nonlocal velocity
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Singular limit of solutions of the very fast diffusion equation
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d-Orthogonality of Humbert and Jacobi type polynomials
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On dispersive properties of discrete 2D Schrödinger and Klein–Gordon equations
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A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order
Fulltext Access 28 Pages 2008
Construction of a local and global Lyapunov function for discrete dynamical systems using radial basis functions
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Stratified Kähler structures on adjoint quotients
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On maximal regularity of type Lp–Lq under minimal assumptions for elliptic non-divergence operators
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On non-equilibrium stochastic dynamics for interacting particle systems in continuum
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Entire solutions in monostable reaction–diffusion equations with delayed nonlinearity
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Gradient estimates for a degenerate parabolic equation with gradient absorption and applications
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Suboptimal boundary controls for elliptic equation in critically perforated domain
Fulltext Access 29 Pages 2008
On the equipartition of energy for the critical NLW
Fulltext Access 29 Pages 2008
G.E. Hutchinson's delay logistic system with symmetries and spatial diffusion
Fulltext Access 29 Pages 2008
Asymptotic behaviors of a class of NN-Laplacian Neumann problems with large diffusion
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Compensated convexity and its applications
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Localized minimizers of flat rotating gravitational systems
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Metaplectic representation on Wiener amalgam spaces and applications to the Schrödinger equation
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Asymptotic stability of nonlinear wave for the compressible Navier–Stokes equations in the half space
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Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
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Periodic solutions of symmetric autonomous Newtonian systems
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Hadamard products for generalized Rogers–Ramanujan series
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Hyperbolic–parabolic singular perturbation for mildly degenerate Kirchhoff equations: Time-decay estimates
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Very weak, generalized and strong solutions to the Stokes system in the half-space
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Newton's method for sections on Riemannian manifolds: Generalized covariant α-theory
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Spectral stability of Dirichlet second order uniformly elliptic operators
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A class of differential-delay systems with hysteresis: Asymptotic behaviour of solutions
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Asymptotic behaviour of the stability parameter for a family of singular-limit Hill's equation
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Carrying simplices in nonautonomous and random competitive Kolmogorov systems
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Large time behaviors of hot spots for the heat equation with a potential
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Pullback attractors for a semilinear heat equation in a non-cylindrical domain
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Itô's formula in UMD Banach spaces and regularity of solutions of the Zakai equation
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Periodic solutions of some resonant Hamiltonian systems
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Continuous dependence results for non-linear Neumann type boundary value problems
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A class of fourth order wave equations with dissipative and nonlinear strain terms
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