Recent progress in the regularity theory of Fourier integrals with real and complex phases and solutions to partial differential equations

• Autorzy: Michael Ruzhansky
• Języki publikacji: EN

Abstrakty

EN

In this paper we will give a brief survey of recent regularity results for Fourier integral operators with complex phases. This will include the case of real phase functions. Applications include hyperbolic partial differential equations as well as non-hyperbolic classes of equations. An application to an oblique derivative problem is also given.

Kategorie tematyczne

• 35S30: Fourier integral operators
• 35L30: Initial value problems for higher-order hyperbolic equations
• 58J40: Pseudodifferential and Fourier integral operators on manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 60
• Numer: 1
• Strony: 151-160

Daty

wydano

2003

Twórcy

autor

Michael Ruzhansky

• Department of Mathematics, Imperial College, London SW7 2BZ, United Kingdom

Identyfikatory

DOI

10.4064/bc60-0-12