Heat equation with dynamical boundary conditions of reactive-diffusive type

From MaRDI portal
Publication:627685

DOI10.1016/j.jde.2010.12.012zbMath1213.35243arXiv1001.3642OpenAlexW2032740120MaRDI QIDQ627685

Enzo Vitillaro, Juan Luis Vazquez

Publication date: 3 March 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3642




Related Items

Null controllability for parabolic equations with dynamic boundary conditionsWell-posedness and exponential stability of boundary control systems with dynamic boundary conditionsBlow-up for the wave equation with nonlinear source and boundary damping termsBlow-up problems for a parabolic equation coupled with superlinear source and local linear boundary dissipationParabolic problems with general Wentzell boundary conditions and diffusion on the boundarySome Remarks on the Krein-von Neumann Extension of Different LaplaciansOn a functional inequality arising in the analysis of finite-volume methodsDiscontinuous Galerkin approximation of linear parabolic problems with dynamic boundary conditionsDynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transferAttractors for a class of delayed reaction-diffusion equations with dynamic boundary conditionsDirect and inverse problems for a 2D heat equation with a Dirichlet-Neumann-Wentzell boundary conditionImpulse null approximate controllability for heat equation with dynamic boundary conditionsCoupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand DynamicsDiscrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditionsBoundary null controllability for the heat equation with dynamic boundary conditionsDifference potentials method for models with dynamic boundary conditions and bulk-surface problemsRegularity and well-posedness of some quasi-linear elliptic and parabolic problems with nonlinear general Wentzell boundary conditions on nonsmooth domainsQuasi-linear variable exponent boundary value problems with Wentzell-Robin and Wentzell boundary conditionsAsymptotic behavior of solutions to reaction-diffusion equations with dynamic boundary conditions and irregular dataOn global solutions for quasilinear one-dimensional parabolic problems with dynamical boundary conditionsOn the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and sourceAnalyticity and Gevrey class regularity for a strongly damped wave equation with hyperbolic dynamic boundary conditionsAsymptotics of semigroups generated by operator matricesAn exterior parabolic differential inequality under semilinear dynamical boundary conditionsInverse source problem for heat equation with nonlocal Wentzell boundary conditionRegularity results and exponential growth for pullback attractors of a non-autonomous reaction-diffusion model with dynamical boundary conditionsAmbrosetti-Prodi-type problems for quasi-linear elliptic equations with nonlocal boundary conditionsMaximal regularity, analytic semigroups, and dynamic and general Wentzell boundary conditions with a diffusion term on the boundaryAttractors for nonclassical diffusion equations with dynamic boundary conditionsFast reaction limit of a volume–surface reaction–diffusion system towards a heat equation with dynamical boundary conditionsLipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditionsAn inverse problem for finding the lowest term of a heat equation with Wentzell–Neumann boundary conditionNull controllability for a heat equation with dynamic boundary conditions and drift termsDynamic boundary systems with boundary feedback and population system with unbounded birth processA unified framework for parabolic equations with mixed boundary conditions and diffusion on interfaces



Cites Work


This page was built for publication: Heat equation with dynamical boundary conditions of reactive-diffusive type