Existence and supercontractive estimates for parabolic-elliptic systems
From MaRDI portal
Publication:2105533
DOI10.1016/j.na.2022.113170zbMath1504.35049OpenAlexW4308309899MaRDI QIDQ2105533
Maria Michaela Porzio, Luigi Orsina, Boccardo, Lucio
Publication date: 8 December 2022
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2022.113170
existence of solutionsnoncoercive problemssupercontractive estimatessystem of parabolic and elliptic equations
Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)
Cites Work
- Unnamed Item
- Unnamed Item
- On decay estimates
- On uniform and decay estimates for unbounded solutions of partial differential equations
- A user's guide to PDE models for chemotaxis
- Compact sets in the space \(L^ p(0,T;B)\)
- Quasilinear parabolic and elliptic equations with singular potentials
- Regularity results and asymptotic behavior for a noncoercive parabolic problem
- Dirichlet problems with singular convection terms and applications
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- A critical blow-up exponent in a chemotaxis system with nonlinear signal production
- Sublinear elliptic systems with a convection term
- Uniform bounds for solutions to quasilinear parabolic equations.