Regularity of solutions of Poisson's equation in multiplier spaces
DOI10.1007/s10998-008-7001-9zbMath1199.35058OpenAlexW2053895162MaRDI QIDQ1046794
Djemaïa Bensikaddour, Amina Lahmar-Benbernou, Saddek Gala
Publication date: 29 December 2009
Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10998-008-7001-9
Smoothness and regularity of solutions to PDEs (35B65) Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Generalized solutions to partial differential equations (35D99)
Cites Work
- The Schrödinger operator on the energy space: Boundedness and compactness criteria
- Application of the trace inequality to the Poisson equation
- Some weighted norm inequalities concerning the Schrödinger operators
- The trace inequality and eigenvalue estimates for Schrödinger operators
- Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers
- 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
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