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.
Nous commençons par décrire l’état des connaissances sur les problèmes de résolubilité pour les équations aux dérivées partielles et les équations pseudo-différentielles. Nous prouvons ensuite un lemme hilbertien, que nous utilisons pour démontrer un résultat nouveau de résolubilité.
@article{AIF_2000__50_2_443_0, author = {Lerner, Nicolas}, title = {When is a pseudo-differential equation solvable ?}, journal = {Annales de l'Institut Fourier}, pages = {443--460}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {50}, number = {2}, year = {2000}, doi = {10.5802/aif.1761}, mrnumber = {2001e:35188}, zbl = {0952.35166}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1761/} }
TY - JOUR AU - Lerner, Nicolas TI - When is a pseudo-differential equation solvable ? JO - Annales de l'Institut Fourier PY - 2000 SP - 443 EP - 460 VL - 50 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1761/ DO - 10.5802/aif.1761 LA - en ID - AIF_2000__50_2_443_0 ER -
%0 Journal Article %A Lerner, Nicolas %T When is a pseudo-differential equation solvable ? %J Annales de l'Institut Fourier %D 2000 %P 443-460 %V 50 %N 2 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.1761/ %R 10.5802/aif.1761 %G en %F AIF_2000__50_2_443_0
Lerner, Nicolas. When is a pseudo-differential equation solvable ?. Annales de l'Institut Fourier, Volume 50 (2000) no. 2, pp. 443-460. doi : 10.5802/aif.1761. http://archive.numdam.org/articles/10.5802/aif.1761/
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