A survey about the equation \(\mathrm{div} u=f\) in bounded domains of \(\mathbb R^n\)
From MaRDI portal
Publication:2510568
DOI10.1007/s10013-013-0034-2zbMath1295.35187OpenAlexW2008806426MaRDI QIDQ2510568
Publication date: 1 August 2014
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-013-0034-2
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral representations of solutions to PDEs (35C15) Linear first-order PDEs (35F05) Boundary value problems for linear first-order PDEs (35F15)
Related Items (5)
The Poisson equation involving surface measures ⋮ Korn's inequality and John domains ⋮ Solvability of the divergence equation implies John via Poincaré inequality ⋮ On the dual of 𝐵𝑉 ⋮ On the Poincaré lemma on domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hardy Sobolev spaces on strongly Lipschitz domains of \(\mathbb R^n\)
- A non-inequality for differential operators in the \(L_ 1\) norm
- Solutions of the divergence operator on John domains
- Improved Poincaré inequalities with weights
- On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains
- Functional analysis, Sobolev spaces and partial differential equations
- Hardy spaces and divergence operators on strongly Lipschitz domains of \(\mathbb R^n\)
- Lifting in Sobolev spaces
- Elliptic partial differential equations of second order
- Sobolev-Poincaré implies John
- A limiting case for the divergence equation
- On the solvability of the equation \( \text{div} \, u=f\) in \(L^1\) and in \(C^0\)
- The regularity of the Stokes operator and the Fujita-Kato approach to the Navier-Stokes initial value problem in Lipschitz domains
- Potential maps, Hardy spaces, and tent spaces on special Lipschitz domains
- An explicit right inverse of the divergence operator which is continuous in weighted norms
- Hierarchical Construction of Bounded Solutions of div U=F in Critical Regularity Spaces
- Finite Element Methods for Navier-Stokes Equations
- Integral Inequalities of Hardy and Poincare Type
- Local compactness for linear elasticity in irregular domains
- On the structure of the Sobolev space H1/2 with values into the circle
- On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
- SOLUTIONS OF THE DIVERGENCE AND ANALYSIS OF THE STOKES EQUATIONS IN PLANAR HÖLDER-α DOMAINS
This page was built for publication: A survey about the equation \(\mathrm{div} u=f\) in bounded domains of \(\mathbb R^n\)