scientific article

zbMath0571.47037MaRDI QIDQ3688960

Johannes Elschner

Publication date: 1985

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Galerkin methodsplinesFredholm propertyindex formulaelliptic differential operatorssingular differential operatorFuchsian differential operatorsdegenerate pseudodifferential operatorsfinite element method for pseudo-differential equationsnormal solvability in weighted Sobolev spacesspace of infinitely differentiable functionsweighted \(L_ p\) spacessmoothest polynomial

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Analyticity in context of PDEs (35A20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Ordinary differential equations in the complex domain (34M99) General theory for ordinary differential equations (34A99) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (3)

The modified quadrature method for classical pseudodifferential equations of negative order on smooth closed curves ⋮ On symbol analysis of periodic pseudodifferential operators ⋮ Local existence and regularity of solutions of singular elliptic operators on manifolds with corner singularities

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