New regularity results for the heat equation and application to non-homogeneous Burgers equation
-
Yassine Benia
and
Boubaker-Khaled Sadallah
Abstract
This article deals with the regularity of a solution for a non-homogeneous heat equation in Sobolev spaces. The problem is subject to Cauchy–Dirichlet boundary conditions considered in a rectangle or domain that can be transformed into a rectangle.
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Articles in the same Issue
- Frontmatter
- On the Hölder continuity of ring Q-homeomorphisms
- New regularity results for the heat equation and application to non-homogeneous Burgers equation
- Maximum inequalities in rearrangements of orthogonal series
- A parallel type decomposition scheme for quasi-linear abstract hyperbolic equation
- Reversible ring property via idempotent elements
- Infinitely many solutions for perturbed Λγ-Laplace equations
- On an alternative approach for mixed boundary value problems for the Laplace equation
- Split monotone variational inclusion problem involving Cayley operators
- Duals and approximate duals of von Neumann–Schatten p-frames
- Properties of general Fourier coefficients of differentiable functions
- On linear spline algorithms of computerized tomography in the space of n-orbits
- Barbashin type characterizations for the uniform polynomial stability and instability of evolution families
Articles in the same Issue
- Frontmatter
- On the Hölder continuity of ring Q-homeomorphisms
- New regularity results for the heat equation and application to non-homogeneous Burgers equation
- Maximum inequalities in rearrangements of orthogonal series
- A parallel type decomposition scheme for quasi-linear abstract hyperbolic equation
- Reversible ring property via idempotent elements
- Infinitely many solutions for perturbed Λγ-Laplace equations
- On an alternative approach for mixed boundary value problems for the Laplace equation
- Split monotone variational inclusion problem involving Cayley operators
- Duals and approximate duals of von Neumann–Schatten p-frames
- Properties of general Fourier coefficients of differentiable functions
- On linear spline algorithms of computerized tomography in the space of n-orbits
- Barbashin type characterizations for the uniform polynomial stability and instability of evolution families
