Global existence and nonexistence for semilinear parabolic systems with nonlinear boundary conditions
DOI10.1007/BF01442877zbMath0652.35065MaRDI QIDQ1107031
Publication date: 1989
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/164554
regularityCauchy problemasymptotic behaviourglobal existencenonlinear boundary conditionsblow upsemilinearstrongly continuous analytic semigroupweak Hilbert space setting
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Groups and semigroups of linear operators (47D03) Initial value problems for second-order parabolic equations (35K15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dual semigroups and second order linear elliptic boundary value problems
- Semigroups and nonlinear evolution equations
- Parabolic evolution equations and nonlinear boundary conditions
- Dynamical systems and evolution equations. Theory and applications
- On global solution of nonlinear hyperbolic equations
- Stability and Instability for Solutions of Burgers’ Equation with a Semilinear Boundary Condition
- Global existence for semilinear parabolic systems.
- A potential well theory for the heat equation with a nonlinear boundary condition
- Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
- Some Nonexistence Theorem for Initial-Boundary Value Problems with Nonlinear Boundary Constraints
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term
- Équations différentielles abstraites
- Interpolation in $L^{p}$ with boundary conditions
This page was built for publication: Global existence and nonexistence for semilinear parabolic systems with nonlinear boundary conditions