Double diffusion structure of logarithmically damped wave equations with a small parameter
DOI10.1016/j.jde.2021.12.010zbMath1481.35067arXiv2109.09944OpenAlexW3200184439MaRDI QIDQ2069174
Ruy Coimbra Charão, Ryo Ikehata, Alessandra Piske
Publication date: 20 January 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.09944
small parameterasymptotic profileoptimal estimatesdouble diffusioninfinite time \(L^2\) blow-uplogarithmic damping
Asymptotic behavior of solutions to PDEs (35B40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Perturbations in context of PDEs (35B20) Initial value problems for second-order hyperbolic equations (35L15)
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Cites Work
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- Long time decay estimates in real Hardy spaces for evolution equations with structural dissipation
- A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations
- Continuity properties of fractional powers, of the logarithm, and of holomorphic semigroups
- An optimal estimate for the difference of solutions of two abstract evolution equations.
- Asymptotic profiles of solutions for structural damped wave equations
- Wave equations with strong damping in Hilbert spaces
- Optimal leading term of solutions to wave equations with strong damping terms
- Asymptotic profile and optimal decay of solutions of some wave equations with logarithmic damping
- Thresholds for low regularity solutions to wave equations with structural damping
- A dissipative logarithmic-type evolution equation: asymptotic profile and optimal estimates
- On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping
- Asymptotic profiles for wave equations with strong damping
- Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space
- Asymptotic profile of solutions for semilinear wave equations with structural damping
- Global existence for semi-linear structurally damped \(\sigma\)-evolution models
- Remarks on large time behavior of the \(L^2\)-norm of solutions to strongly damped wave equations.
- Diffusion phenomena for the wave equation with structural damping in the \(L^p-L^q\) framework
- An application of \(L^p-L^q\) decay estimates to the semi-linear wave equation with parabolic-like structural damping
- Asymptotic expansion of the \(L^{2}\)-norm of a solution of the strongly damped wave equation
- An application of \(L^{1}\) estimates for oscillating integrals to parabolic like semi-linear structurally damped \(\sigma\)-evolution models
- A global existence result for two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain
- Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation
- L 1 Estimates for Oscillating Integrals Related to Structural Damped Wave Models
- Semilinear structural damped waves
- Asymptotic profiles for damped plate equations with rotational inertia terms
- DECAY PROPERTY OF REGULARITY-LOSS TYPE FOR DISSIPATIVE TIMOSHENKO SYSTEM
- Global existence of small solutions to a class of nonlinear evolution equations
- Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
- Asymptotic profile of solutions for some wave equations with very strong structural damping
- New decay estimates for linear damped wave equations and its application to nonlinear problem
- Asymptotic expansion of the L 2 -norm of a solution of the strongly damped wave equation in space dimension 1 and 2
- Blow‐up of solutions to semilinear strongly damped wave equations with different nonlinear terms in an exterior domain
- Asymptotic profiles for a wave equation with parameter‐dependent logarithmic damping
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