A new critical exponent for the heat and damped wave equations with nonlinear memory and not integrable data
From MaRDI portal
Publication:2662139
DOI10.1007/978-3-030-61346-4_9zbMath1461.35037OpenAlexW3127252294MaRDI QIDQ2662139
Publication date: 9 April 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-61346-4_9
Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- Unnamed Item
- A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations
- On the asymptotic behavior of solutions of semi-linear 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
- Critical exponents for semilinear dissipative wave equations in \({\mathbb{R}}^N\)
- Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities
- A wave equation with structural damping and nonlinear memory
- Critical exponents for differential inequalities with Riemann-Liouville and Caputo fractional derivatives
- \(L^p\)-\(L^q\) estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data
- The critical exponent(s) for the semilinear fractional diffusive equation
- An equation whose Fujita critical exponent is not given by scaling
- The influence of a nonlinear memory on the damped wave equation
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Critical exponent for a nonlinear wave equation with damping
This page was built for publication: A new critical exponent for the heat and damped wave equations with nonlinear memory and not integrable data
