Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation

From MaRDI portal
Publication:2787965

DOI10.1090/tran/6520zbMath1342.35184arXiv1402.6595OpenAlexW2161517285MaRDI QIDQ2787965

Marina Ghisi, Massimo Gobbino, Alain Haraux

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6595




Related Items (28)

Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic termA dissipative logarithmic-Laplacian type of plate equation: asymptotic profile and decay ratesCauchy problem for the Kuznetsov equationRegular attractor of the β-evolution equation with fractional damping on RnCritical exponent for nonlinear wave equations with frictional and viscoelastic damping termsA new phenomenon in the critical exponent for structurally damped semi-linear evolution equationsA second order fractional differential equation under effects of a super dampingModels of nonlinear acoustics viewed as approximations of the Kuznetsov equationStrongly damped wave equations with mass-like terms of the logarithmic-LaplacianWellposedness of second order evolution equationsFirst order inertial optimization algorithms with threshold effects associated with dry frictionStrong attractors and their stability for the structurally damped Kirchhoff wave equation with supercritical nonlinearityUnconditional small data global well-posedness for nonlinear beam equations with weak dampingThresholds for low regularity solutions to wave equations with structural dampingA dissipative logarithmic-type evolution equation: asymptotic profile and optimal estimatesKirchhoff equations with strong dampingTime-dependent propagation speed vs strong damping for degenerate linear hyperbolic equationsCritical counterexamples for linear wave equations with time-dependent propagation speedA wave equation with structural damping and nonlinear memoryA classification of structural dissipations for evolution operatorsWell-posedness and attractor for a strongly damped wave equation with supercritical nonlinearity on \(\mathbb{R}^N\)Second order linear evolution equations with general dissipation\(L^p-L^q\) estimates for a parameter-dependent multiplier with oscillatory and diffusive componentsDouble diffusion structure of logarithmically damped wave equations with a small parameterA note on optimal L 2 -estimates of solutions to some strongly damped σ-evolution equationsDecay properties and asymptotic behaviors for a wave equation with general strong dampingDecay estimates of solutions to nonlinear elastic wave equations with viscoelastic terms in the framework of \(L^p\)-Sobolev spacesGlobal existence results for semi-linear structurally damped wave equations with nonlinear convection



Cites Work


This page was built for publication: Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation