Dieudonné, Jean Recent development in the theory of linear partial differential equations. (English) Zbl 0434.35003 Int. J. Math. Math. Sci. 3, 1-14 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35J99 Elliptic equations and elliptic systems 35S05 Pseudodifferential operators as generalizations of partial differential operators 58J40 Pseudodifferential and Fourier integral operators on manifolds 47F05 General theory of partial differential operators 47Gxx Integral, integro-differential, and pseudodifferential operators 46F05 Topological linear spaces of test functions, distributions and ultradistributions 46F12 Integral transforms in distribution spaces Keywords:survey; existence and uniqueness theorems; Cauchy-Kovalevskaya type theorems; Fourier and Laplace transforms; spectral theory; distributions and fundamental solutions; Sobolev spaces and weak solutions; elliptic and nonelliptic problems; integral and pseudodifferential operators; special symbols; parametrices; smoothing operators; asymptotic expansions; operators on manifolds; Fourier integral operators PDFBibTeX XMLCite \textit{J. Dieudonné}, Int. J. Math. Math. Sci. 3, 1--14 (1980; Zbl 0434.35003) Full Text: DOI EuDML