Remarks on lower bounds for pseudo-differential operators
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Publication:1887189
DOI10.1016/j.matpur.2004.02.006zbMath1059.35184OpenAlexW2014206093MaRDI QIDQ1887189
Publication date: 23 November 2004
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2004.02.006
lower boundFefferman-Phong inequalityself-adjoint pseudodifferential operatorssharp Gårding inequality
Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential operators (47G30)
Cites Work
- The Cauchy problem for differential equations with double characteristics
- An inequality of Gårding on a manifold with boundary
- The Fefferman-Phong inequality in the locally temperate Weyl calculus
- About the \(C^\infty\)-well-posedness of fully nonlinear weakly hyperbolic equations of second order with spatial degeneracy
- Melin-Hörmander inequality in a Wiener type pseudodifferential algebra
- Fefferman's SAK principle in one dimension
- MELIN INEQUALITY FOR PARADIFFERENTIAL OPERATORS AND APPLICATIONS
- NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
- On positivity of pseudo-differential operators
- Local solvability and hypoellipticity for semilinear anisotropic partial differential equations
- A Generalization of Hörmander's Inequality-I
- Dirichlet's problem for linear elliptic partial differential equations
- Lower bounds for pseudo-differential operators
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