A Simple Example of Localized Parametric Resonance for the Wave Equation

Colombini, Ferruccio; Rauch, Jeffrey

Serdica Mathematical Journal (2008)

  • Volume: 34, Issue: 1, page 55-66
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 35L05, 35P25, 47A40.The problem studied here was suggested to us by V. Petkov. Since the beginning of our careers, we have benefitted from his insights in partial differential equations and mathematical physics. In his writings and many discussions, the conjuction of deep analysis and specially interesting problems has been a source inspiration for us.The research of J. Rauch is partially supported by the U.S. National Science Foundation under grant NSF-DMS-0104096

How to cite

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Colombini, Ferruccio, and Rauch, Jeffrey. "A Simple Example of Localized Parametric Resonance for the Wave Equation." Serdica Mathematical Journal 34.1 (2008): 55-66. <http://eudml.org/doc/281489>.

@article{Colombini2008,
abstract = {2000 Mathematics Subject Classification: 35L05, 35P25, 47A40.The problem studied here was suggested to us by V. Petkov. Since the beginning of our careers, we have benefitted from his insights in partial differential equations and mathematical physics. In his writings and many discussions, the conjuction of deep analysis and specially interesting problems has been a source inspiration for us.The research of J. Rauch is partially supported by the U.S. National Science Foundation under grant NSF-DMS-0104096},
author = {Colombini, Ferruccio, Rauch, Jeffrey},
journal = {Serdica Mathematical Journal},
keywords = {Localized Parametric Resonance; Growing Solutions; Localized parametric resonance; growing solutions},
language = {eng},
number = {1},
pages = {55-66},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Simple Example of Localized Parametric Resonance for the Wave Equation},
url = {http://eudml.org/doc/281489},
volume = {34},
year = {2008},
}

TY - JOUR
AU - Colombini, Ferruccio
AU - Rauch, Jeffrey
TI - A Simple Example of Localized Parametric Resonance for the Wave Equation
JO - Serdica Mathematical Journal
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 34
IS - 1
SP - 55
EP - 66
AB - 2000 Mathematics Subject Classification: 35L05, 35P25, 47A40.The problem studied here was suggested to us by V. Petkov. Since the beginning of our careers, we have benefitted from his insights in partial differential equations and mathematical physics. In his writings and many discussions, the conjuction of deep analysis and specially interesting problems has been a source inspiration for us.The research of J. Rauch is partially supported by the U.S. National Science Foundation under grant NSF-DMS-0104096
LA - eng
KW - Localized Parametric Resonance; Growing Solutions; Localized parametric resonance; growing solutions
UR - http://eudml.org/doc/281489
ER -

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