F.B.I. transformation : second microlocalization and semilinear caustics / Jean-Marc Delort
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1522Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1992ISBN: 9783540557647.ISSN: 1617-9692.Sujet MSC : 35A27, General topics in partial differential equations, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs35A22, General topics in partial differential equations, Transform methods (e.g., integral transforms) applied to PDEs
35L70, PDEs - Hyperbolic equations and hyperbolic systems, Second-order nonlinear hyperbolic equations
58J47, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Propagation of singularities; initial value problems on manifolds
35L05, PDEs - Hyperbolic equations and hyperbolic systems, Wave equationEn-ligne : Springerlink | Zentralblatt | MathSciNet
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The text provides a self-contained introduction into the theory of second microlocalization along a Lagrangian submanifold, and its application to the study of conormal singularities for solutions of semilinear hyperbolic partial differential equations. The technical tools are rather advanced (generalized Fourier-Bros-Iagolnitzer (FBI) transformations, symplectic geometry, plurisubharmonical functions, subanalytic sets and functions, stratifications) but the exposition is unusually clear and precise. ... (Zentralblatt)
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