A calculus for fourier integral operators in domains with boundary and applications to the oblique derivative problem

DOI10.1080/03605307708820050zbMath0392.35055OpenAlexW1995996422MaRDI QIDQ4173743

Anders Melin, Johannes Sjöstrand

Publication date: 1977

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605307708820050

zbMATH Keywords

Elliptic Boundary Value ProblemsAnalytic Lagrangian ManifoldsCalculus for Fourier Integral OperatorsFourier Integral Distributions over ManifoldsGeometrical Optics MethodsHyperbolic Initial Value ProblemsPositivity Criterion

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Boundary value problems for second-order elliptic equations (35J25) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (5)

Singular solutions to some non linear oblique derivative problems ⋮ -Solvability for the Parabolic Poincaré Problem ⋮ On the eigenvalues of a class of hypoelliptic operators. IV ⋮ Some classes of non—elliptic boundary value problems for pseudo—differential operators II. overdetermined and under— determined systems ⋮ Degenerate Boundary Value Problems for Parabolic Pseudo-Differential Operators

Cites Work

• Pseudo-differential operators and non-elliptic boundary problems
• Stability of \(C^\infty\) mappings. II: Infinitesimal stability implies stability
• Boundary problems for pseudo-differential operators
• Fourier integral operators. I
• Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem
• Problèmes aux limites en théorie des distributions
• Unnamed Item
• Unnamed Item

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