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

Michael Ruzhansky

Banach Center Publications (2003)

  • Volume: 60, Issue: 1, page 151-160
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Michael Ruzhansky. "Recent progress in the regularity theory of Fourier integrals with real and complex phases and solutions to partial differential equations." Banach Center Publications 60.1 (2003): 151-160. <http://eudml.org/doc/282011>.

@article{MichaelRuzhansky2003,
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.},
author = {Michael Ruzhansky},
journal = {Banach Center Publications},
keywords = {Fourier integral operators; complex phases; continuity properties; hyperbolic partial differential equations; oblique derivative problem},
language = {eng},
number = {1},
pages = {151-160},
title = {Recent progress in the regularity theory of Fourier integrals with real and complex phases and solutions to partial differential equations},
url = {http://eudml.org/doc/282011},
volume = {60},
year = {2003},
}

TY - JOUR
AU - Michael Ruzhansky
TI - Recent progress in the regularity theory of Fourier integrals with real and complex phases and solutions to partial differential equations
JO - Banach Center Publications
PY - 2003
VL - 60
IS - 1
SP - 151
EP - 160
AB - 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.
LA - eng
KW - Fourier integral operators; complex phases; continuity properties; hyperbolic partial differential equations; oblique derivative problem
UR - http://eudml.org/doc/282011
ER -

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