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

Tom 60 / 2003

Michael Ruzhansky Banach Center Publications 60 (2003), 151-160 MSC: Primary 35S30, 35L30; Secondary 58J40 DOI: 10.4064/bc60-0-12

Streszczenie

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.

Autorzy

  • Michael RuzhanskyDepartment of Mathematics
    Imperial College
    London SW7 2BZ
    United Kingdom
    e-mail

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