Space-time estimates on damped fractional wave equation

DOI10.1155/2014/428909zbMath1468.35227OpenAlexW2052674569WikidataQ59037972 ScholiaQ59037972MaRDI QIDQ1724110

Jiecheng Chen, Chun Jie Zhang, Fan, Dashan

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/428909

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for linear higher-order PDEs (35G10) Fractional partial differential equations (35R11)

Related Items

Long time decay estimates in real Hardy spaces for evolution equations with structural dissipation, Estimates of damped fractional wave equations, \(L^p\)-\(L^q\) estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data, Analysis of the damped nonlinear space-fractional Schrödinger equation, ON POTENTIAL WELLS AND VACUUM ISOLATING OF SOLUTIONS FOR SPACE-FRACTIONAL WAVE EQUATIONS, On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping, The time discontinuous space-time finite element method for fractional diffusion-wave equation

Cites Work

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• Estimates on fractional power dissipative equations in function spaces
• Hardy space estimates for the wave equation on compact Lie groups
• Strong solutions to the nonlinear heat equation in homogeneous Besov spaces
• A local smoothing estimate for the Schrödinger equation
• Theory of function spaces
• Strichartz type estimates for fractional heat equations
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• Regularity of solutions to the Schrödinger equation
• \(L^p\)-estimates for the wave equation on the Heisenberg group
• \(L^p\) estimates for the waves equation
• \(L^p-L^q\) estimates for the Klein-Gordon equation
• Existence and non-existence of global solutions for a semilinear heat equation
• Regularity properties of Fourier integral operators
• Rapidly decaying solutions of the nonlinear Schrödinger equation
• Parabolic maximal functions associated with a distribution. II
• On the asymptotic behavior of solutions of semi-linear wave equations
• Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations
• The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media
• \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
• Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
• Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities
• \(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
• On existence and scattering with minimal regularity for semilinear wave equations
• Well-posedness of the Cauchy problem for the fractional power dissipative equations
• Strichartz estimates for the Schrödinger equation with radial data
• A blow-up result for a nonlinear wave equation with damping: The critical case
• STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
• On the Weighted Estimate of the Solution Associated with the Schrodinger Equation
• Inhomogeneous Strichartz estimates for the Schrödinger equation
• Pointwise convergence of solutions to Schr\"odinger equations
• Blow-Up Estimates for a Nonlinear Hyperbolic Heat Equation
• Schrodinger Equations: Pointwise Convergence to the Initial Data
• Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
• Endpoint Strichartz estimates
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• NON-UNIQUENESS FOR A CRITICAL NON-LINEAR HEAT EQUATION
• On Strichartz estimates for Schrödinger operators in compact manifolds with boundary
• Damped wave equation with a critical nonlinearity
• Critical exponent for a nonlinear wave equation with damping