On a class of parabolic equations with nonlocal boundary conditions
From MaRDI portal
Publication:596801
DOI10.1016/j.jmaa.2004.03.021zbMath1060.35057OpenAlexW2009337731MaRDI QIDQ596801
Publication date: 10 August 2004
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.021
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Motion of charged particles (78A35)
Related Items (27)
Framework models of ion permeation through membrane channels and the generalized King-Altman method ⋮ A porous medium equation with nonlocal boundary condition and a localized source ⋮ Blowup analysis for a semilinear parabolic system with nonlocal boundary condition ⋮ Stability of the weighted splitting finite-difference scheme for a two-dimensional parabolic equation with two nonlocal integral conditions ⋮ Nonlocal problems involving spatial structure for coupled reaction-diffusion systems ⋮ Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition ⋮ Two-level fourth-order explicit schemes for diffusion equations subject to boundary integral specifications ⋮ Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition ⋮ Weak solutions for nonlocal boundary value problems with low regularity data ⋮ Remarks on a semilinear heat equation with integral boundary conditions ⋮ On the stability of a difference scheme for a two-dimensional parabolic equation with an integral condition ⋮ A quasilinear parabolic system with nonlocal boundary condition ⋮ Blow-up analysis for heat equation with a nonlocal weighted exponential boundary flux ⋮ An inverse source problem of a semilinear time-fractional reaction–diffusion equation ⋮ Numerical spectral analysis of a difference operator with non-local boundary conditions ⋮ Existence and blow-up of solutions for a porous medium equation with nonlocal boundary condition ⋮ On comparison principles for parabolic equations with nonlocal boundary conditions ⋮ Properties of positive solution for nonlocal reaction-diffusion equation with nonlocal boundary ⋮ A degenerate parabolic system with localized sources and nonlocal boundary condition ⋮ Blowup of solutions to a porous medium equation with nonlocal boundary condition ⋮ A degenerate parabolic system with nonlocal boundary condition ⋮ Blow-up problem for semilinear heat equation with nonlinear nonlocal boundary condition ⋮ A comparison principle for nonlocal coupled systems of fully nonlinear parabolic equations ⋮ Unnamed Item ⋮ Application of Rothe's method to a parabolic inverse problem with nonlocal boundary condition. ⋮ Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions ⋮ Blowup time estimates for the heat equation with a nonlocal boundary condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite difference approximations for a class of nonlocal parabolic equations
- Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions
- Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions
- Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions
- Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- Nonlinear elliptic boundary-value problems in unbounded domains
- A diffusion equation with localized chemical reactions
- Dynamics of reaction-diffusion equations with nonlocal boundary conditions
- Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions
This page was built for publication: On a class of parabolic equations with nonlocal boundary conditions