Nonlinear elliptic systems with dynamic boundary conditions
From MaRDI portal
Publication:1204275
DOI10.1007/BF02571805zbMath0759.35025MaRDI QIDQ1204275
Publication date: 3 March 1993
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/174410
Nonlinear parabolic equations (35K55) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Groups and semigroups of linear operators (47D03) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)
Related Items
Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition ⋮ Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation ⋮ Maximal regularity for a free boundary problem ⋮ PDE problems with concentrating terms near the boundary ⋮ Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential ⋮ An exterior nonlinear elliptic problem with a dynamical boundary condition ⋮ The global solution and blowup of a spatiotemporal EIT problem with a dynamical boundary condition ⋮ A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions ⋮ The role of surface diffusion in dynamic boundary conditions: where do we stand? ⋮ On the solvability of a transmission problem for the Laplace operator with a dynamic boundary condition on a nonregular interface ⋮ A remark on the blowup of solutions to the Laplace equations with nonlinear dynamical boundary conditions ⋮ The large diffusion limit for the heat equation with a dynamical boundary condition ⋮ Solvability of a linear system with a nonlocal term in a boundary condition ⋮ On a dynamic boundary condition for singular degenerate parabolic equations in a half space ⋮ Strongly continuous dual semigroups ⋮ Elliptic 1-Laplacian equations with dynamical boundary conditions ⋮ Existence and uniqueness for an elliptic problem with evolution arising in electrodynamics ⋮ Long-time behavior of reaction-diffusion equations with dynamical boundary condition ⋮ EVOLUTION AND MEMORY EFFECTS IN THE HOMOGENIZATION LIMIT FOR ELECTRICAL CONDUCTION IN BIOLOGICAL TISSUES ⋮ Non-positivity of the semigroup generated by the Dirichlet-to-Neumann operator ⋮ Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition ⋮ On the Laplace equation with dynamical boundary conditions of reactive-diffusive type ⋮ Unnamed Item ⋮ Nonlocal diffusion equations with dynamical boundary conditions ⋮ A rigorous derivation and energetics of a wave equation with fractional damping ⋮ The Phragmèn-Lindelöf Theorem for a Fully Nonlinear Elliptic Problem with a Dynamical Boundary Condition ⋮ Unnamed Item
Cites Work
- Dual semigroups and second order linear elliptic boundary value problems
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Semigroups and nonlinear evolution equations
- Global existence and nonexistence for semilinear parabolic systems with nonlinear boundary conditions
- Parabolic evolution equations in interpolation and extrapolation spaces
- Parabolic evolution equations and nonlinear boundary conditions
- Singular perturbation and boundary layer for an abstract Cauchy problem
- Alcuni risultati di teoria spettrale per i problemi ai limiti lineari ellittici
- Evolution equations with dynamic boundary conditions
- The coerciveness problem for forms over vector valued functions
- Interpolation in $L^{p}$ with boundary conditions
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Initial Boundary Value Problems from Semiconductor Device Theory
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Nonlinear elliptic systems with dynamic boundary conditions