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ISSN 1088-6850(e) ISSN 0002-9947(p)

Decay estimates for wave equations with variable coefficients

Author(s): Petronela Radu; Grozdena Todorova; Borislav Yordanov
Journal: Trans. Amer. Math. Soc. 362 (2010), 2279-2299.
MSC (2000): Primary 35L05, 35L15; Secondary 37L15
Posted: December 14, 2009
MathSciNet review: 2584601
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Abstract | References | Similar articles | Additional information

Abstract: We establish weighted estimates for dissipative wave equations with variable coefficients that exhibit a dissipative term with a space dependent potential. These results yield decay estimates for the energy and the norm of solutions. The proof is based on the multiplier method where multipliers are specially engineered from asymptotic profiles of related parabolic equations.

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Additional Information:

Petronela Radu
Affiliation: Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588
Email: pradu@math.unl.edu

Grozdena Todorova
Affiliation: Department of Mathematics, University of Tennessee, Knoxville, Knoxville, Tennessee 37996
Email: todorova@math.utk.edu

Borislav Yordanov
Affiliation: Department of Mathematics, University of Tennessee, Knoxville, Knoxville, Tennessee 37996
Email: yordanov@math.utk.edu

DOI: 10.1090/S0002-9947-09-04742-4
PII: S 0002-9947(09)04742-4
Keywords: Wave equations with variable coefficients, linear dissipation, decay rates, subsolution
Received by editor(s): October 4, 2007
Posted: December 14, 2009
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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