# 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

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topColombini, 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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