Keywords: primary; 35K57; 35B10; 35B50; secondary; 35P05; Periodic-parabolic problems; Maximum principle; Principal eigenvalue; Positivity of the resolvent; Positive strict supersolution;
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Keywords: Evolution equations; Mild solutions; Hilfer fractional derivative; Noncompact measure; 26A33; 34K30; 34K45; 35B10; 47D06;
Keywords: 35B10; 35B32; Vortex filaments; Periodic solutions; Bifurcation;
Keywords: 35B10; 35B20; 35B27; 35D40; 35F21; 42A16; Asymptotic expansion; Effective Hamiltonian; Inverse problem; Periodic homogenization; Rigidity result; Trigonometric polynomials;
Keywords: Extended tanh method; Coupled systems; Solitary wave solutions; 35C07; 35C08; 35B10; 35C09;
Keywords: 35C07; 35K57; 35B10; Reaction-diffusion systems; Multidimensional stability; Planar traveling fronts;
Keywords: 35B25; 35B10; 35K20; 35K58; Monotone and non-monotone boundary layers; Two independent singular perturbation parameters; Periodic-parabolic boundary value problem; Implicit function theorem;
Keywords: 35L65; 35B10; 35B35Periodic renormalized solutions; Decay property; H-measures
Keywords: 35R09; 35B51; 35B65; 35D40; 35B10; 35B40Integro-differential equations; Regularity; Comparison principles; Large time behavior; Strong maximum principles
Keywords: 34K13; 34K31; 35B10; 35B27; 35B35; 35P05; 37K60; 37L60; 39A23; 39A30Periodic traveling waves; Whitham averaging; Modulation systems; Lattice dynamical systems; Spectral stability; Discrete Bloch transform
Keywords: 58E05; 34B15; 35B10; 35L05; 70H05Index theory; Dual variational methods; Wave equation
Keywords: 35B10; 35B32; 35B35; 35C08; 35Q41; 81Q05; Carleman estimates; linear stability of solitary waves; nonlinear Dirac equation; spectral theory of nonselfadjoint operators;
Keywords: Tanh–coth scheme; Nonlinear schrödinger zakharov system; Solitons solutions35C05; 35Q51; 35B10
Keywords: 35B10; 35B33; 35J08; 58J05Supercritical problem; Concentration along geodesic; Singular periodic ODE
Keywords: 65M06; 65M12; 35B10; 35Q53Shallow water waves of moderate amplitude; Conservative solutions; Wave breaking
Keywords: primary; 34G20; 46N20; 35B10; secondary; 47A10; 47A53; 47D06; 35K58; Nonlinear periodic system; Evolution semigroup; Fredholm operator; Periodic solution; Normal eigenvalue; Decomposition;
Keywords: 35B10; 35B35; 35B40; 35C07; 35K40Advection–reaction–diffusion system; Time periodic traveling waves; Asymptotic stability; Maximal wave speed; Lotka–Volterra competition system
Keywords: 35B10; 35B45; 35K05Time-periodic; Maximal regularity; A priori estimates; Heat equation
Existence of global solutions for a class of vector fields on the three-dimensional torus
Keywords: 35A01; 35B10; Global solvability; Condition (P); Periodic solutions; Fourier series;
Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus
Keywords: primary; 35A01; secondary; 35B10; 35B65; Gevrey solvability; Gevrey hypoellipticity; Vector fields; Periodic solutions; Fourier series;
Linear asymptotic stability and modulation behavior near periodic waves of the Korteweg-de Vries equation
Keywords: 35B10; 35B35; 35P05; 35Q53; 37K45; Periodic traveling waves; Asymptotic stability; Korteweg-de Vries equation; Dispersive estimates;
Delaunay hypersurfaces with constant nonlocal mean curvature
Keywords: 47G20; 35J60; 35B10; Constant nonlocal mean curvature; Delaunay periodic cylinders;
On periodic wave solutions of the KdV6 equation via bilinear Bäcklund transformation
Keywords: 35B10; 35Q51; 37K40; KdV6 equation; Bilinear Bäcklund transformation; Periodic wave solutions; Dynamical behaviors;
Orbital stability of periodic traveling wave solutions to the generalized zakharov equations
Keywords: generalized Zakharov equations; periodic traveling waves; orbital stability; 35B10; 35B35;
Pulsating flows of the 2D Euler-Poisson equations
Keywords: 35B10; 35B35; 35Q85; 76U05; 85A15; Euler-Poisson equations; Rotating fluids; Pulsating; Periodic solutions; Pressureless fluids;
Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition
Keywords: 35R10; 92B05; 35B32; 35K57; 35B10; 92D40; Hopf bifurcation; Distributed delay; Dirichlet boundary condition; Reaction-diffusion equation; Normal form;
Travelling wave solutions of the Schamel-Korteweg-de Vries and the Schamel equations
Keywords: Schamel-Korteweg-de Vries equation; Schamel equation; Travelling wave solutions; 35B10; 35Q99; 35Q53;
Quasi-periodic solutions of (3+1) generalized BKP equation by using Riemann theta functions
Keywords: Hirota’s bilinear method; Quasi-periodic wave solutions; Riemann theta functions; (3+1) Generalized BKP equation35G20; 35B10; 14K25
Time periodic solution to the compressible navier-stokes equations in a periodic domain
Keywords: Time periodic solution; compressible Navier-Stokes equation; topology degree; energy method35Q30; 35B10; 35M10
Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance
Keywords: 35B10; 35L71; 58E30Nonlinear wave equation; Periodic solutions; Minimax principle
A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment
Keywords: 35K57; 35R35; 35B10; 92D25Diffusive logistic equation; Free boundary problem; Periodic environment; Spreading and vanishing
New approach of (G′/G)-expansion method and new approach of generalized (G′/G)-expansion method for ZKBBM equation
Keywords: 35B10; 35Q99; 35Q53New (G′/G)-expansion method; New generalized (G′/G)-expansion method; Nonlinear auxiliary equation; ZKBBM equation; Travelling wave solutions
Exact solutions of nonlinear wave equations using (G′/G, 1/G)-expansion method
Keywords: 34A34; 35C07; 35C08; 35B10; 35C09Exact solutions; (G′/G,1/G)(G′/G,1/G)-expansion method; The Hamiltonian amplitude equation; The Broer–Kaup equations
From periodic ODE’s to supercritical PDE’s
Keywords: 35B10; 35B33; 35J08; 58J05Supercritical problem; Concentration along high dimensional manifold; Periodic ODE; Green’s function
On the radius of analyticity of solutions to the cubic Szegő equation
Keywords: 35B10; 35B65; 47B35Cubic Szegő equation; Gevrey class regularity; Analytic solutions; Hankel operators
Blowup solutions for the generalized two-component Camassa–Holm system on the circle
Keywords: 35B10; 35B44; 35G55; 35L05; 35Q35Generalized two-component Camassa–Holm system; Blowup solution; Wave-breaking phenomena
Infinitely many periodic solutions for a semilinear wave equation in a ball in RnRn
Keywords: 35B10; 35L05; 35L71; 58E30n-dimensional wave equation; Infinitely many weak solutions; Minimax principle
Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation
Keywords: 35K20; 35B10; 35K57; 35B36Degenerate logistic equation; Positive periodic solution; Asymptotic behavior; Spatiotemporal pattern
Existence and stability of time periodic traveling waves for a periodic bistable Lotka–Volterra competition system
Keywords: 35C07; 35B10; 35K40; 35K57; 35B35; 35B40Lotka–Volterra competition–diffusion system; Periodic traveling wave solutions; Existence; Uniqueness; Stability
The regularized Benjamin-Ono and BBM equations: Well-posedness and nonlinear stability
Keywords: 35Q53; 35B35; 35B10; Periodic traveling waves; Nonlinear stability; Regularized Benjamin-Ono equation; BBM equation;
Periodic traveling curved fronts in reaction-diffusion equation with bistable time-periodic nonlinearity
Keywords: 35K57; 35B10; 35B35; 35B40; Reaction-diffusion equation; Time-periodic bistable nonlinearity; Periodic traveling curved front; Existence; Stability;
An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
Keywords: 37K55; 35B10; Schrödinger equation; KAM tori; Birkhoff normal form;
Periodic solutions of quasilinear parabolic systems with nonlinear boundary conditions
Keywords: 35B10; 35K40; 35J60Periodic solutions; Quasilinear parabolic systems; Nonlinear boundary conditions; Upper and lower solutions
Global bifurcation of periodic solutions in nonlinear evolution problems with periodic forcing
Keywords: 35B22; 35B10; 35K55Bifurcation; Periodic solutions; Parabolic; Fredholm operator; Parity
Exact periodic wave solutions for the hKdV equation
Keywords: 35B10; 35Q51Hirota method; Jacobian theta function; Periodic wave solution; Soliton solution; hKdV equation
Linking method applied to a class of a system of critical growth wave equations
Keywords: 35B10; 35L05; 35L20System of critical growth wave equations; Linking arguments; Eigenvalue of a matrix; Boundary value problem
Long time bounds for the periodic Benjamin–Ono–BBM equation
Keywords: 35B10; 35B60; 35Q53; 76B03; 76B55BO–BBM equation; KP equations; Local and global well-posedness; Long time bounds
Large time behavior of solutions of Hamilton–Jacobi equations with periodic boundary data
Keywords: 35B40; 35B10; 35F25; 35F30Large-time behavior; Hamilton–Jacobi equations; Cauchy–Dirichlet problem; Periodic solution; Aubry set
Global weak solutions and wave breaking phenomena to the periodic Degasperis–Procesi equation with strong dispersion
Keywords: 35A05; 35B10; 35D05; 35E15; 35G25Degasperis–Procesi equation; Global weak solution; Breaking waves; Peakon; Shockpeakon
Asymptotic periodicity of the Volterra equation with infinite delay
Keywords: 35B10; 35B40; 35K55; Volterra; Asymptotic periodicity; Delay; Existence; Uniqueness;