Decay character and the semilinear structurally damped \(\sigma\)-evolution equations
DOI10.1016/j.jmaa.2023.128053OpenAlexW4389990140MaRDI QIDQ6150499
Cung The Anh, Tang Trung Loc, Pham Trieu Duong
Publication date: 8 February 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.128053
global existencedecay estimatessemilinear problemsdamped equationssmall data solutionsdecay characters
Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)
Cites Work
- A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations
- Semi-linear wave equations with effective damping
- Decay properties of solutions to the Cauchy problem for the damped wave equation with absorption
- Damped wave equation with super critical nonlinearities.
- The pointwise estimates of solutions for dissipative wave equation in multi-dimensions
- Poincaré's inequality and diffusive evolution equations
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- On the asymptotic behavior of solutions of semi-linear wave equations
- Critical exponents for semilinear dissipative wave equations in \({\mathbb{R}}^N\)
- A competition between Fujita and Strauss type exponents for blow-up of semi-linear wave equations with scale-invariant damping and mass
- Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations
- Improved decay rates for solutions to one-dimensional linear and semilinear dissipative wave equations in all space
- On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term
- The point-wise estimates of solutions for semi-linear dissipative wave equation
- Blow-up results for nonlinear parabolic equations on manifolds
- Semilinear effectively damped wave models with general relaxation function
- Decay character and estimates for the damped wave equation
- Global existence for semi-linear structurally damped \(\sigma\)-evolution models
- The Cauchy problem for the nonlinear damped wave equation with slowly decaying data
- Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption
- An application of \(L^{1}\) estimates for oscillating integrals to parabolic like semi-linear structurally damped \(\sigma\)-evolution models
- Critical exponent for a class of semilinear damped wave equations with decaying in time propagation speed
- On the critical exponent and sharp lifespan estimates for semilinear damped wave equations with data from Sobolev spaces of negative order
- Scale-invariant semilinear damped wave models with mass term and integrable in time speed of propagation.
- Decay of solutions to dissipative modified quasi-geostrophic equations
- L 1 Estimates for Oscillating Integrals Related to Structural Damped Wave Models
- Semilinear structural damped waves
- The External Damping Cauchy Problems with General Powers of the Laplacian
- Large time behaviour of solutions to the navier-stokes equations
- Decay of solution to parabolic conservation laws
- Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
- Methods for Partial Differential Equations
- New decay estimates for linear damped wave equations and its application to nonlinear problem
- Global existence results for semi-linear structurally damped wave equations with nonlinear convection
- Decay characterization of solutions to dissipative equations
- Critical exponent for a nonlinear wave equation with damping
- Unnamed Item
- Unnamed Item
This page was built for publication: Decay character and the semilinear structurally damped \(\sigma\)-evolution equations
