Application of the trace inequality to the Poisson equation

DOI10.1007/s11117-007-2125-3zbMath1275.35061OpenAlexW1998969006MaRDI QIDQ931393

Saddek Gala

Publication date: 25 June 2008

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-007-2125-3

zbMATH Keywords

multiplier spacesdistributionsPoisson equationcoercivity criterion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Regularity of solutions of Poisson's equation in multiplier spaces

Cites Work

• The Schrödinger operator on the energy space: Boundedness and compactness criteria
• The form boundedness criterion for the Laplacian operator
• Some weighted norm inequalities concerning the Schrödinger operators
• The trace inequality and eigenvalue estimates for Schrödinger operators
• Multipliers between Sobolev spaces and fractional differentiation
• \(H^p\) spaces of several variables
• The Spectrum of the Schrodinger Operator
• On functions of bounded mean oscillation
• Well-posedness for the Navier-Stokes equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Application of the trace inequality to the Poisson equation