When is a pseudo-differential equation solvable ?

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2000 English Publisher:MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 50, pages 443-460 (eissn: 1777-5310,

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Authors: Lerner, Nicolas;

doi: 10.5802/aif.1761

When is a pseudo-differential equation solvable ?

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Abstract

This paper begins with a broad survey of the state of the art in matters of solvability for differential and pseudo-differential equations. Then we proceed with a Hilbertian lemma which we use to prove a new solvability result.

Keywords

Research exposition (monographs, survey articles) pertaining to partial differential equations, psi-condition, energy estimations, Pseudodifferential operators as generalizations of partial differential operators, solvability

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