Recent progress in the regularity theory of Fourier integrals with real and complex phases and solutions to partial differential equations
Volume 60 / 2003
Banach Center Publications 60 (2003), 151-160
MSC: Primary 35S30, 35L30; Secondary 58J40
DOI: 10.4064/bc60-0-12
Abstract
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.
