Optimal \(L^2\)-growth of the generalized Rosenau equation
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Publication:6607117
DOI10.1007/s11868-024-00635-wzbMATH Open1547.35093MaRDI QIDQ6607117
Publication date: 18 September 2024
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
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)
Cites Work
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- Optimal decay rates and asymptotic profile for the plate equation with structural damping
- Hardy type inequalities on balls
- On the initial value problem of the semilinear beam equation with weak damping. II: Asymptotic profiles
- Existence and blow-up of solution of Cauchy problem for the generalized damped multidimensional Boussinesq equation
- The Cauchy problem for the Rosenau equation
- \(L^p\) estimates for the waves equation
- On \(L_2-L_{p'}\) estimates for the wave-equation
- Explicit constants for Rellich inequalities in \(L_p(\Omega)\)
- Asymptotic profiles of solutions for structural damped wave equations
- Local energy decay for linear wave equations with variable coefficients
- Global existence and asymptotic behavior of solution for the Rosenau equation with hydrodynamical damped term
- Optimal leading term of solutions to wave equations with strong damping terms
- The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case
- Thresholds for low regularity solutions to wave equations with structural damping
- Asymptotic profiles for wave equations with strong damping
- A note on decay rates of the local energy for wave equations with Lipschitz wavespeeds
- Asymptotic profiles for a strongly damped plate equation with lower order perturbation
- Remarks on large time behavior of the \(L^2\)-norm of solutions to strongly damped wave equations.
- A priori estimates for the wave equation and some applications
- \(L^ p\)-decay rates for homogeneous wave-equations
- NEW DECAY RATES FOR A PROBLEM OF PLATE DYNAMICS WITH FRACTIONAL DAMPING
- ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS
- 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
- New asymptotic estimates of solutions for generalized Rosenau equations
- Pitt's inequality with sharp convolution estimates
- Large-time asymptotic behavior for the classical thermoelastic system
- L2-blowup estimates of the wave equation and its application to local energy decay
- \(L^2\)-blowup estimates of the plate equation
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