Geometrical Optics and Related Topics:
Gespeichert in:
Bibliographische Detailangaben
Weitere beteiligte Personen: Colombini, Ferruccio (HerausgeberIn), Lerner, Nicolas (HerausgeberIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Boston, MA Birkhäuser Boston 1997
Schriftenreihe:Progress in Nonlinear Differential Equations and Their Applications 32
Schlagwörter:
Links:https://doi.org/10.1007/978-1-4612-2014-5
Beschreibung:This book contains fourteen research papers which are expanded versions of conferences given at a meeting held in September 1996 in Cortona, Italy. The topics include blowup questions for quasilinear equations in two dimensions, time decay of waves in LP, uniqueness results for systems of conservation laws in one dimension, concentration effects for critical nonlinear wave equations, diffraction of nonlinear waves, propagation of singularities in scattering theory, caustics for semi-linear oscillations. Other topics linked to microlocal analysis are Sobolev embedding theorems in Weyl-Hormander calculus, local solvability for pseudodifferential equations, hypoellipticity for highly degenerate operators. The book also contains a result on uniqueness for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions for characteristic initial-boundary value problems. On each topic listed above, one will find new results as well as a description of the state of the art. Various methods related to nonlinear geometrical optics are a transversal theme of several articles. Pseudodifferential techniques are used to tackle classical PDE problems like Cauchy uniqueness. We are pleased to thank the speakers for their contributions to the meeting: Serge Alinhac, Mike Beals, Alberto Bressan, Jean-Yves Chemin, Christophe Cheverry, Daniele Del Santo, Nils Dencker, Patrick Gerard, Lars Hormander, John Hunter, Richard Melrose, Guy Metivier, Yoshinori Morimoto, and Tatsuo Nishitani. The meeting was made possible in part by the financial support of a European commission program, "Human capital and mobility CHRX-CT94-044"
Umfang:1 Online-Ressource (VII, 366 p)
ISBN:9781461220145
9781461273813
DOI:10.1007/978-1-4612-2014-5