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The Cauchy problem for a class of hyperbolic operators

Grant number: 09/13783-8
Support type:Scholarships abroad - Research
Effective date (Start): January 03, 2010
Effective date (End): April 02, 2010
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Cooperation agreement: DAAD
Principal researcher:Marcelo Rempel Ebert
Grantee:Marcelo Rempel Ebert
Host: Michael Reissig
Institution abroad: Technische Universität Bergakademie Freiberg (TU Bergakademie Freiberg), Germany
Home Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

In this project we are interested in discussing about necessary and sufficient conditions for the Cauchy problem so that a class ofweakly hyperbolic operators can be well-posed in spaces of functions like infinitely differentiable functions, Sobolev spaces or moreappropriate scales of function spaces. Because in the theory of weakly hyperbolic operators we have the effect of loss of regularity, we will study whether the loss of derivatives reallyappears and will determine upper and lower bounds for the loss of regularity. (AU)

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