Perturbation and energy estimates

DOI10.1016/S0012-9593(99)80005-6zbMath0927.35139OpenAlexW2049681583MaRDI QIDQ4237660

Nicolas Lerner

Publication date: 13 December 1999

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1998_4_31_6_843_0

zbMATH Keywords

local solvability of the pseudodifferential operators of principal typesufficiency of the \((\psi)\) condition of Nirenberg-Trèves

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items (4)

On the Fefferman--Phong inequality and a Wiener-type algebra of pseudodifferential operators ⋮ When is a pseudo-differential equation solvable ? ⋮ Cutting the loss of derivatives for solvability under condition $(\Psi )$ ⋮ Estimates and solvability

Cites Work

• Nonsolvability in \(L^ 2\) for a first order operator satisfying condition \((\psi)\)
• Sufficiency of condition (\(\psi\) ) for local solvability in two dimensions
• On local solvability of linear partial differential equations
• Quantification et analyse pseudo-différentielle
• Wave packets and fourier integral operators
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
• On local solvability of linear partial differential equations part I: Necessary conditions
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