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Nonsolvability in \(L^ 2\) for a first order operator satisfying condition \((\psi)\)

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Publication:1327599
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DOI10.2307/2946584zbMath0818.35152OpenAlexW2319563010MaRDI QIDQ1327599

Nicolas Lerner

Publication date: 20 August 1995

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2946584


zbMATH Keywords

local solvabilityreal principal symbolcondition \((\psi)\)condition \((P)\)homogeneous principal symbol


Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential operators (47G30)


Related Items (7)

Nirenberg’s contributions to linear partial differential equations: Pseudo-differential operators and solvability ⋮ The Hörmander-Mellin inequality in multiple characteristics ⋮ Local solvability and hypoellipticity for pseudodifferential operators of Egorov type with infinite degeneracy ⋮ When is a pseudo-differential equation solvable ? ⋮ Cutting the loss of derivatives for solvability under condition $(\Psi )$ ⋮ Estimates and solvability ⋮ Perturbation and energy estimates







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