Keywords: Hemivariational inequality; Rothe method; Clarke subdifferential; Caputo derivative; Fractional viscoelastic constitutive law; Friction; 35L15; 35L86; 35L87; 74Hxx; 74M10;
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Keywords: primary; 35L15; 35L05; secondary; 35B40; Nonlinear wave equation; Frictional damping; Viscoelastic damping; The Cauchy problem; Critical exponent; Asymptotic profile;
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; 35L15; 35L70; 93D15Well-posedness; Asymptotic behavior; Infinite memory; Frictional damping; Waves; Petrovsky
Keywords: 35L10; 35L15; 35L80; 35L90; 35S10Harmonic analysis; Weak σσ-evolution equations; Micro-local analysis; Principal symbols; Loss of regularity; Difference of regularity of initial Cauchy data; Normal form diagonalization; Instability argument
A scale of critical exponents for semilinear waves with time-dependent damping and mass terms
Keywords: 35L15; 35L71; 35B33; Critical exponent; Wave equation; Effective damping; Damped Klein-Gordon equation;
Analysis and application of an equivalent Berenger's PML model
Keywords: 65N30; 35L15; 78-08; Maxwell's equations; Perfectly matched layer; Discontinuous Galerkin method; Metamaterials; Wave propagation;
Regularity analysis of metamaterial Maxwell's equations with random coefficients and initial conditions
Keywords: 65N30; 35L15; 78-08; Maxwell's equations; Random permittivity and permeability; Stochastic collocation methods; Uncertainty quantification;
Mathematical analysis and finite element simulation of a magnetized ferrite model
Keywords: 65N30; 35L15; 78-08Maxwell’s equations; Magnetized ferrite model; Edge element; Perfectly matched layer
Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on R3R3
Keywords: 35L05; 35L15; 35L71Nonlinear wave equation; Probabilistic well-posedness; Global existence; Wiener randomization
Conservative solutions to a one-dimensional nonlinear variational wave equation
Keywords: 35D05; 35L15; 35L70Variational wave equation; Weak solutions; Conservative solutions
On weak solutions of the initial value problem for the equation utt=a(x,t)uxx+f(t,x,u,ut,ux)utt=a(x,t)uxx+f(t,x,u,ut,ux)
Keywords: 35L15; 35L71Semilinear second-order hyperbolic equation; Local well-posedness; Strict hyperbolicity; Weak solution; Initial value problem; Global solution; Non-autonomous equation
Global energy conservative solutions to a system of variational wave equations
Keywords: 35D05; 35L15; 35L70Variational wave equations; Weak solutions; Conservative solutions; Young measure
Numerical analysis of a PML model for time-dependent Maxwell’s equations
Keywords: 65N30; 35L15; 78-08Maxwell’s equations; Mixed finite element method; Perfectly matched layer
Critical exponent for damped wave equations with nonlinear memory
Keywords: 35L15; 35L70; 35B33; 34B44Nonlinear damped wave equation; Global existence; Blow-up; Critical exponent; Large time asymptotic behavior
Finite element study of the Lorentz model in metamaterials
Keywords: 65N30; 35L15; 78-08Maxwell’s equations; Metamaterial; Mixed finite element method; Lorentz model
Decay rate of solutions for a Cauchy viscoelastic evolution equation
Keywords: 35B05; 35L05; 35L15; 35L70Decay; Cauchy problem; Relaxation function; Viscoelastic; Fourth order
Global nonexistence results for a class of hyperbolic systems
Keywords: 35L15; 35L55; 35L70Semilinear wave equations; Blow up; Critical exponents; Critical curve
Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type
Keywords: 35L05; 35L15; 35L70; 37B25Nonlinear wave equation; Local existence; Global existence; Blow up; Exponential decay
Global existence, asymptotic behavior and blow-up of solutions for coupled Klein–Gordon equations with damping terms
Keywords: 35L15; 35L70; 35B40Blow-up; Global solutions; Asymptotic behavior; Klein–Gordon equation; Potential wells; Damping term
General decay of energy for a viscoelastic equation with nonlinear damping
Keywords: Viscoelastic equations; Global existence; General decay; Nonlinear damping; 35L15; 35L20; 35B40; 35L75;
Construction of H1-conforming hierarchical shape functions for elements of all shapes and transfinite interpolation
Keywords: Geometry representation; Higher order finite elements; Transfinite interpolation65N30; 35L15
General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source
Keywords: 35L05; 35L15; 35L70; 37B25General decay; Viscoelastic equation; Exponential decay; Polynomial decay; Blow up; Positive initial energy
Global and blow-up solutions for a quasilinear hyperbolic equation with strong damping
Keywords: 35L15; 35L20; 35L70; Hyperbolic equation; Strong damping; Global solutions; Blow-up; Decay estimates;
Global existence of classical solutions to the Cauchy problem for a kind of quasilinear hyperbolic system
Keywords: 35L15; 35L70; 74H10; 74H20; 74K25Null conditions; Cauchy problem; Global existence; Linear elastodynamic operator; Quasilinear hyperbolic system
Standing waves and global existence for the nonlinear wave equation with potential and damping terms
Keywords: 35A15; 35L15; 35Q55Nonlinear wave equation; Standing wave; Instability; Ground state; Potential and damping terms
Numerical convergence and physical fidelity analysis for Maxwell’s equations in metamaterials
Keywords: 65N30; 35L15; 78-08Maxwell’s equations; Double negative metamaterials; Mixed finite element method
ν-loss of derivatives for an evolution type model
Keywords: 35L80; 35L15; 35B40; ν-loss of derivatives; Principle symbols; Floquet theory; Instability argument; p-evolution model;
Cauchy-Dirichlet problem for second-order hyperbolic equations in cylinders with non-smooth base
Keywords: 35L05; 35L15; 35L20; Generalized solution; Smoothness; Strongly hyperbolic equations; Domains with a conical point on the boundary; Non-smooth domains;
On the asymptotics of solutions of the first initial boundary value problem for hyperbolic systems in infinite cylinders with base containing conical points
Keywords: 35L05; 35L15; 35L20First initial boundary value problem; Conical point; Generalized solution; Asymptotics
Asymptotic properties of the massive scalar field in the external Schwarzschild spacetime
Keywords: 35B40; 35L15; 83C57Initial value problem; Massive scalar field; Black hole; Asymptotic behavior
General decay of the solution energy in a viscoelastic equation with a nonlinear source
Keywords: 35L05; 35L15; 35L70; 37B25Global existence; General decay; Nonlinear source; Relaxation function; Viscoelastic
Mathematical and numerical study of wave propagation in negative-index materials
Keywords: 65N30; 35L15; 78-08Maxwell’s equations; Double negative metamaterials; Negative-index materials; Mixed finite element method
Killing spinor initial data sets
Keywords: 35L15; 53C12; 83C60; 83C05; 02.40.-k; 04.20.Ex.; 04.20.Gz; General relativity; Cauchy problem; Petrov type; Spinor calculus;
Error analysis of fully discrete mixed finite element schemes for 3-D Maxwell’s equations in dispersive media
Keywords: 65N30; 35L15; 78-08Maxwell’s equations; Dispersive media; Mixed finite element method
Error analysis of mixed finite element methods for wave propagation in double negative metamaterials
Keywords: 65N30; 35L15; 78-08Maxwell's equations; Double negative metamaterials; Mixed finite element method
Existence and nonexistence of global solutions for a nonlinear hyperbolic system with damping
Keywords: 35L15; 35L70Hyperbolic system; Damping; Global solutions; Existence and nonexistence; Decay estimates
Analysis of a time-domain finite element method for 3-D Maxwell’s equations in dispersive media
Keywords: 65N30; 35L15; 78-08.Maxwell’s equations; Dispersive media; Finite element method
Error analysis of finite element methods for 3-D Maxwell's equations in dispersive media
Keywords: 65N30; 35L15; 78-08Maxwell's equations; Dispersive media; Finite element method
Existence and decay of solutions of a viscoelastic equation with a nonlinear source
Keywords: 35L05; 35L15; 35L70; 37B25Global existence; Exponential decay; Local existence; Nonlinear source; Polynomial decay; Relaxation function; Viscoelastic
Global existence and blow-up of solutions for some hyperbolic systems with damping and source terms
Keywords: 35L15; 35L70Hyperbolic systems; Damping and source terms; Existence and uniqueness; Finite time blow-up; Lifespan
Global and blow-up solutions for a system of nonlinear hyperbolic equations with dissipative terms
Keywords: 35L15; 35L70Hyperbolic system; Strong damping; Global solutions; Blow-up; Decay estimates
Fully automatic hp-adaptivity for Maxwell's equations
Keywords: 65N30; 35L15; hp edge finite elements; hp-adaptivity;
Central manifold theory for the generalized equation of Kirchhoff strings on RN
Keywords: 35B30; 35B40; 35B45; 35L15; 35L70; 35L80; Quasilinear wave equations; Unbounded domains; Local and global solutions; Central manifold theory; Strong and weak dissipation; Kirchhoff's equations;
The wave equation for Dunkl operators
Keywords: 35L15; 20GO5; 2OF55; Dunkl operators; Huygens' principle; sl(2)-Triple; Wave equation;
Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential
Keywords: 35B45; 35C15; 35L05; 35L15; Wave equation; Radially symmetric; Small-amplitude solutions;