On the uniform decay in viscoelastic problems in RnRn
Keywords: مشکل کوشی; Polynomial decay; Cauchy problem; Relaxation function; Viscoelastic; Hyperbolic; Compactly supported
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Convergence estimates of a projection-difference method for an operator-differential equation
Keywords: مشکل کوشی; 65J10; 65M60; 35K90; Cauchy problem; Difference scheme; Operator equation; Galerkin method; Hilbert space; Orthogonal projection;
Bounds on short cylinders and uniqueness in Cauchy problem for degenerate Kolmogorov equations
Keywords: مشکل کوشی; Kolmogorov degenerate equations; Cauchy problem; Uniqueness theorems;
The Cauchy problem for the Rosenau equation
Keywords: مشکل کوشی; 35L30; 35Q30; 76B15Rosenau equation; Cauchy problem; Stable set and unstable set; Existence of global solution; Nonexistence
Wavelet moment method for the Cauchy problem for the Helmholtz equation
Keywords: مشکل کوشی; 65M30; 44A60; 65J20; 35J05; Cauchy problem; Helmholtz equation; Moment problem; Ill-posed problem; Regularization; Meyer wavelets; Wavelet projection;
The Cauchy problem for nonlinear elliptic equations
Keywords: مشکل کوشی; primary, 35J65; secondary, 34G20Nonlinear equations; Ellipticity; Cauchy problem
Well-posedness of the Cauchy problem of high dimension non-isotropic fourth-order Schrödinger equations in Sobolev spaces
Keywords: مشکل کوشی; 35K24; Non-isotropic Schrödinger equation; Cauchy problem; Solution; Existence;
Method of fundamental solutions with optimal regularization techniques for the Cauchy problem of the Laplace equation with singular points
Keywords: مشکل کوشی; Cauchy problem; Inverse problem; Laplace equation; L-curve; Method of fundamental solutions; Singular point; Tikhonov regularization
Quasi-reversibility and truncation methods to solve a Cauchy problem for the modified Helmholtz equation
Keywords: مشکل کوشی; Cauchy problem; Modified Helmholtz equation; Quasi-reversibility method; Truncation method; Convergence estimates;
Modified regularization method for the Cauchy problem of the Helmholtz equation
Keywords: مشکل کوشی; Cauchy problem; Helmholtz equation; Regularization method; Convergence estimates
Blow-up of solution of Cauchy problem for three-dimensional damped nonlinear hyperbolic equation
Keywords: مشکل کوشی; 35L30; 35L75; Damped nonlinear hyperbolic equation; Cauchy problem; Local solution; Blow-up of solution;
Modified Tikhonov regularization method for the Cauchy problem of the Helmholtz equation
Keywords: مشکل کوشی; Cauchy problem; Helmholtz equation; Modified Tikhonov regularization algorithm; Convergence analysis
Nonlinear differential problems with first- or second-order differences in Hilbert spaces
Keywords: مشکل کوشی; 34G20; 47H05; 39A12Differential system; Extreme condition; Cauchy problem; Maximal monotone operator; Strong solution; Weak solution; Difference equation
The minimal error method for the Cauchy problem in linear elasticity. Numerical implementation for two-dimensional homogeneous isotropic linear elasticity
Keywords: مشکل کوشی; Linear elasticity; Inverse problem; Cauchy problem; Regularization; Iterative algorithms; Boundary element method (BEM)
Convergence rate for a semilinear parabolic equation with a singular nonlinearity
Keywords: مشکل کوشی; 35K15; 35B35; 35B40; Cauchy problem; Semilinear heat equation; Stationary solution; Convergence; Critical exponent; Singularity;
Analysis and algorithms for a regularized cauchy problem arising from a non-linear elliptic PDE for seismic velocity estimation
Keywords: مشکل کوشی; Elliptic PDE; Cauchy problem; Ill-posed; Seismic velocity; Dix inversion; Time migration; Image rays; Geometrical spreading; Time coordinates; Finite difference; Error analysis; Perturbation analysis; Lax–Friedrics method; Chebyshev spectral method; Marmo
The porous medium equation in a two-component domain
Keywords: مشکل کوشی; 35K55; 35K50; 35B05Nonlinear diffusion; Contact condition; Free boundary; Cauchy problem
A blow-up result in a Cauchy viscoelastic problem
Keywords: مشکل کوشی; Blow-up; Cauchy problem; Finite time; Relaxation function; Viscoelastic;
Identification of aquifer point sources and partial boundary condition from partial overspecified boundary data
Keywords: مشکل کوشی; Hydrogeology; Inverse problem; Cauchy problem; Data completion; Point sources; Reciprocity gap principleHydrogéologie; Problème inverse; Problème de Cauchy; Complétion de données; Points sources; Principe d’écart à la réciprocité
On the Stability of the Positive Radial Steady States for a Semilinear Cauchy Problem Involving Critical Exponents
Keywords: مشکل کوشی; Stability; Cauchy problem; asymptotic stability
Global solution for a generalized Boussinesq equation
Keywords: مشکل کوشی; Boussinesq equation; Cauchy problem; Stable set and unstable set; Existence of global solution; Nonexistence
Blow-up and propagation of disturbances for fast diffusion equations
Keywords: مشکل کوشی; 35K55; 35K57; 34B15Fast diffusion; Finite blow-up time; Cauchy problem
Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation
Keywords: مشکل کوشی; Generalized Boussinesq equation; Cauchy problem; Potential wells; Global existence; Blow up
Global well-posedness of viscoelastic fluids of Oldroyd type in Besov spaces
Keywords: مشکل کوشی; Incompressible viscoelastic fluid; Regularization method; Bony’s paraproduct decomposition; Cauchy problem; Besov spaces; Well-posedness
Tikhonov type regularization method for the Cauchy problem of the modified Helmholtz equation
Keywords: مشکل کوشی; Cauchy problem; Modified Helmholtz equation; Tikhonov type regularization; Convergence analysis; Error estimation;
Inverse electroencephalography for volumetric sources
Keywords: مشکل کوشی; EEG; Inverse problem; Regularization; Cauchy problem
Solvability of the Cauchy problem of non-isotropic Schrödinger equations in Sobolev spaces
Keywords: مشکل کوشی; 35K24; Non-isotropic Schrödinger equation; Cauchy problem; Solution; Existence;
On the kinetic theory for active particles: A model for tumor–immune system competition
Keywords: مشکل کوشی; Active particles; Living systems; Kinetic theory; Biology; Cauchy problem; Nonlinearity
Local well-posedness for the super Korteweg-de Vries equation
Keywords: مشکل کوشی; Cauchy problem; Smoothing effects; KdV equation; Super-KdV equation;
Periodic boundary value problem and cauchy problem of the generalized cubic double dispersion equation
Keywords: مشکل کوشی; The generalized cubic double dispersion equation; Cauchy problem; existence and uniqueness of global solution; nonexistence of global solution35L30; 35L75
Discretization of the Cauchy problem for a fast diffusion equation
Keywords: مشکل کوشی; 65M12; 65D30; 35K55; Fast diffusion; Finite blowup time; Cauchy problem; Numerical method;
Homeorhesis-based modelling and fast numerical analysis for oncogenic hyperplasia under radiotherapy
Keywords: مشکل کوشی; Reaction–diffusion equation; Cauchy problem; Tumour; Oncogenic hyperplasia; Homeorhesis
Global existence, nonexistence and asymptotic behavior of solutions for the Cauchy problem of semilinear heat equations
Keywords: مشکل کوشی; 35K30; 35G25Semilinear heat equation; Cauchy problem; Global existence; Blowup; Asymptotic behavior
Killing spinor initial data sets
Keywords: مشکل کوشی; 35L15; 53C12; 83C60; 83C05; 02.40.-k; 04.20.Ex.; 04.20.Gz; General relativity; Cauchy problem; Petrov type; Spinor calculus;
Global existence of solution of Cauchy problem for nonlinear pseudo-parabolic equation
Keywords: مشکل کوشی; Nonlinear pseudo-parabolic equation; Cauchy problem; Global existence of solution; Asymptotic behavior of solution
An energy error-based method for the resolution of the Cauchy problem in 3D linear elasticity
Keywords: مشکل کوشی; Cauchy problem; Boundary condition identification; Elasticity; Indentation; Contact; Inverse problem
Breakdown of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems
Keywords: مشکل کوشی; 35L45; 35L60; Quasilinear hyperbolic system; Cauchy problem; Weak linear degeneracy; Matching condition; Lifespan; Formation of singularity;
Well-posedness of the Cauchy problem for the fractional power dissipative equations
Keywords: مشکل کوشی; 35K05; 35K15Fractional power dissipative equation; Cauchy problem; Well-posedness; Space–time estimates; Besov spaces
On the Cauchy problem for the fast diffusion equation
Keywords: مشکل کوشی; 35D05; 35D10; 35K15; 35K65; Existence; Regularity; Cauchy problem; Fast diffusion;
Well-posedness of Cauchy problem of fourth-order Schrödinger equations in anisotropic Sobolev space
Keywords: مشکل کوشی; Non-isotropic Schrödinger equation; Cauchy problem; Solution; Existence;
Solving elliptic Cauchy problems and the identification of nonlinear corrosion
Keywords: مشکل کوشی; Cauchy problem; Inverse boundary problem; Corrosion
Well-posedness for the nonlocal nonlinear Schrödinger equation
Keywords: مشکل کوشی; Nonlocal nonlinear Schrödinger equation; Cauchy problem; Well-posedness
Existence and uniqueness for a nonlinear discrete hyperbolic system
Keywords: مشکل کوشی; 34G20; 35L50; 39A10; 47H05Discrete hyperbolic system; Extreme conditions; Maximal monotone operator; Cauchy problem; Strong solution; Weak solution
Well-posedness of the Cauchy problem of a water wave equation with low regularity initial data
Keywords: مشکل کوشی; Dispersive equation; Cauchy problem; Well-posedness
An alternating iterative algorithm for the Cauchy problem in anisotropic elasticity
Keywords: مشکل کوشی; Boundary element method (BEM); Anisotropic elasticity; Cauchy problem; Inverse problem; Regularisation
On the Cauchy problem of fourth-order nonlinear Schrödinger equations
Keywords: مشکل کوشی; 35B35; 35Q55; 35R25Fourth-order Schrödinger equation; Cauchy problem; Well-posedness; Besov space
Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces Hs(Rn)Hs(Rn) and applications
Keywords: مشکل کوشی; 35Q53; 35Q35Dispersive equation; Cauchy problem; Well-posedness
On the Cauchy type problem for systems of functional differential equations
Keywords: مشکل کوشی; 34K10; 34K06; System of functional differential equations; Cauchy problem; Solvability; Uniqueness;
Well-posedness of Cauchy problem for the fourth order nonlinear Schrödinger equations in multi-dimensional spaces
Keywords: مشکل کوشی; Fourth order nonlinear Schrödinger equations; Cauchy problem; Well-posedness; Smoothing effects
Computable Analysis of the Abstract Cauchy Problem in a Banach Space and Its Applications (I)
Keywords: مشکل کوشی; computable analysis; partial differential equations; Cauchy problem