Keywords: 35L05; 65N06; 65N12; 65M06; 65M12; 3D; Elastic wave equation; LOD; Fourth-order accuracy; Splitting;
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Keywords: 35L05; 35L85; 49A29; 65N10; 65N30; 74M15; Numerical solution; Mass redistribution method; Variational inequality; Unilateral contact; Energy conservation;
Keywords: 35R30; 35L05; Carleman estimate; Gaussian curvature; Isotropic pseudo-Riemannian metric;
Keywords: Singular limit; Global attractor; Hausdorff distance; Wave equation; 35B25; 35B41; 35L05;
Keywords: Strings with moving ends; Stabilization; Rotation number; 35L05; 34K35; 93B07; 95B05;
Keywords: 35R30; 35L05; 74B05; 47A52; 65J20; Inverse elastic scattering; Elasticity imaging; Topological derivative; Resolution analysis; Stability analysis;
Keywords: Nonlinear Hamiltonian wave equation; Finite difference discretization; Neumann boundary conditions; Energy-preserving algorithm; AVF formula; Oscillatory system; 35C15; 35L05; 35L70; 65L05; 65L06;
Keywords: 35Q35; 35L05; 74J30; 34D15; Camassa-Holm equation; Solitary wave solutions; Geometric singular perturbation theory; Invariant manifold;
Keywords: global existence; null condition; weighted energy estimate; continuous induction; 35L05; 35L72;
Keywords: primary; 35B40; 35L05; 47D06; secondary; 35P20; Wave equation; Viscoelastic damping; Memory; Decay rates; Resolvent estimates; C0-semigroups;
Keywords: 35L05; 35P05; 47A56; 47D06; Damped wave equation; Unbounded damping; Essential spectrum; Quadratic operator function with unbounded coefficients; Schrödinger operators with complex potentials;
Keywords: 35L70; 35L05; 35L65; Wave equations; Liquid crystal; Uniqueness; Generic regularity;
Keywords: primary; 35L05; 35B40; secondary; 35L70; 35B35; Wave equation; Nonlinear damping; Decay rate; Exterior domain;
Keywords: 35A27; 35B35; 35L05; 74Dxx; Wave equation; Exponential decay; Locally distributed viscoelastic damping; Past history;
Keywords: 35L05; 35L20; 35D30; 35D35; 35Q74; Wave equation; Dynamical boundary conditions; Damping; Supercritical sources;
Keywords: Time- and space-fractional multidimensional diffusion-wave equation; Fundamental solution; Mellin integral transform; Mellin-Barnes integral representation; Probability density function; 26A33; 35C05; 35E05; 35L05; 45K05; 60E99;
Keywords: 35B44; 35L05; 37K10; Rod equation; Blow-up; Shallow water;
Keywords: 35L05; 65N06; 65N12; 65M06; 65M123D; Acoustic wave equation; LOD; Fourth-order accuracy; Stability; Compact
Keywords: 35R30; 35L05; Inverse problems; Wave equation; Time-dependent potential; Uniqueness; Carleman estimates; Partial data;
Keywords: 35Q74; 35Q72; 74D10; 35B35; 35B30; 93D15; 35L05; 74M05; Wentzell (Ventcel) boundary conditions; Multidimensional wave equations; Boundary stabilization; Decay rate; Nonlinear damping;
Keywords: 35G25; 35L05; 35Q50; Non-uniform dependence; Hölder continuity; Shallow water wave with moderate amplitude; Asymptotic behaviors;
Keywords: primary; 35L15; 35L05; secondary; 35B40; Nonlinear wave equation; Frictional damping; Viscoelastic damping; The Cauchy problem; Critical exponent; Asymptotic profile;
Keywords: primary; 58J50; secondary; 35P25; 35L05; 58J47; Hodge Laplacian; Resolvent; High energy estimates; Analytic continuation; Asymptotically hyperbolic spaces; Asymptotically Minkowski spaces;
Keywords: nonlocal wave equation; nonlocal operator; peridynamics; boundary condition; Hilbert-Schmidt operator; operator theory; 35L05; 74B99;
Keywords: 35L05; 41A20; 65A05; 65M99; 65Z05; 78M25; Retarded time integral; Rational approximation; Radiation boundary conditions; Initial boundary value problem; Vlasov-Maxwell system; Accelerator beam physics;
Keywords: 35L05; 35L70Blow up; Critical semilinear wave equations; Exterior problem
Keywords: 35L65; 35L05; 35L72Bessel functions; Compressible Euler equations; Vacuum boundary; Nash–Moser Theorem; Energy inequality
Keywords: 35L05; 35Q74; 35R35; 74H20; 74K35Dynamic debonding; Wave equation in time-dependent domains; Dynamic energy release rate; Maximum dissipation principle; Griffith's criterion; Dynamic fracture
Keywords: 58E05; 34B15; 35B10; 35L05; 70H05Index theory; Dual variational methods; Wave equation
Keywords: primary; 35B53; 35B60; 35L05; 58J45; 93B05; secondary; 35R30; 31B20; 58E25; Wave equation; Unique continuation property; Stability; Analysis on manifolds; Optimal control time;
Keywords: 35L05; 35B34; 35L71; 35B45Wave equation; Dimension two; Reversed Strichartz estimates; Pointwise decay estimates; Strichartz estimates
Keywords: 35L71; 35L05;
Keywords: 35L05; 35K05; 35Q99; 46N20Damped wave equation; Heat equation; Diffusion phenomena; Geometric control condition; Variable damping; Energy decay
Keywords: 35L05; 35L71Wave maps; Weak solutions; Weak-strong uniqueness
Keywords: 35K57; 35L05; 35B40; 35B41Non-cylindrical domains; Pullback attractor; Higher-order asymptotic attraction; Reaction–diffusion equation; Variational solution
Keywords: 35L15; 35L05; 35L71Semi-linear wave models; Power nonlinearity; Small data solutions; Matsumura type estimates; Decay behavior
Keywords: 35L15; 35L05; 35L71Semi-linear wave models; Power nonlinearity; Small data solutions; Matsumura type estimates; Decay behavior
Keywords: 35L05; 35L10; 35L20; 35L70Quasilinear wave equations; Star-shaped obstacle; Lifespan
Keywords: 35G25; 35L05; 35Q50; Quasi-linear hyperbolic equation; Local well-posedness; Weak solution; Pseudoparabolic regularization method;
Keywords: 35F46; 35L05; 35L50; 35L65; 35M13; 65J10; 65M12; 65M15; 65M60; 76M10; Time marching schemes; Dispersion; Dissipation; von Neumann analysis; Fourier analysis; Mixed wave equation;
Keywords: 35L05; 35L15; 35L70; 93D15Well-posedness; Asymptotic behavior; Infinite memory; Frictional damping; Waves; Petrovsky
Keywords: 35R30; 35L05; 65M32; 65M06Discrete Carleman estimates; Inverse problem; Stability estimates; Wave equation
Keywords: 35L05; 65N06; 65N08; 65Z05; 3D; Poroelastic wave equations; Finite difference method; Control volume method; Spherical domain; Singularity;
Keywords: 35B44; 35L05; 37K10Dissipative Camassa–Holm equation; Blow-up
Keywords: 35G25; 35L05; 35R25; Cauchy problem; Generalized Camassa-Holm equation; Besov spaces; Osgood Lemma; Blow-up criterion;
Keywords: 35G25; 35L65; 35L05; Singular limit; Compensated compactness; Ostrovsky-Hunter equation; Entropy condition;
Keywords: Modified simple equation method; Traveling wave solution; Nonlinear partial differential equation35C05; 35L05; 35Q99
On the finite time singularities for a class of Degasperis-Procesi equations
Keywords: 35G25; 35L05; A class of Degasperis-Procesi equations; Local well-posedness; Finite time singularities; The lifespan of solution;
Global well-posedness for 2D nonlinear wave equations without compact support
Keywords: 35L05; 35L70; 35L72; Global well-posedness; Two dimensional nonlinear wave equations; Without compact support; Null condition;
Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions
Keywords: 35L10; 35L71; 35L05; Quasilinear wave equation; Exterior domain; Neumann boundary condition; Null condition; Convex obstacle; Elliptic regularity;