Trèves, François Ovcyannikov theorem and hyperdifferential operators. (English) Zbl 0205.39202 Notas Mat. No. 46, 238 p. (1968). Reviewer: R. J. Elliott Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 34 Documents MSC: 35A01 Existence problems for PDEs: global existence, local existence, non-existence 35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs 35A10 Cauchy-Kovalevskaya theorems 35A08 Fundamental solutions to PDEs 47B48 Linear operators on Banach algebras Keywords:Ovsyannikov theorem; bounded linear operator; local solution of Cauchy problem; existence; uniqueness; dependence of solution on data; regularity; existence and regularity of resolvent operator; Cauchy-Kowalevskaya theorem; Holmgren theorem Citations:Zbl 0144.39003 PDF BibTeX XML OpenURL