Mathematical Methods in the Applied Sciences

Volume 40, Issue 15 pp. 5613-5618

Research Article

Solutions in Bessel-potential spaces for wave equations with nonlinear damping

Carlos Banquet,

Carlos Banquet

Departamento de Matemáticas y Estadística, Universidad de Córdoba, Montería, A.A. 354 Colombia

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Lucas C. F. Ferreira,

Lucas C. F. Ferreira

IMECC-Departamento de Matemática, Universidade Estadual de Campinas, Campinas-SP, CEP 13083-859 Brazil

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Élder J. Villamizar-Roa,

Corresponding Author

Élder J. Villamizar-Roa

[email protected]

orcid.org/0000-0001-5557-5053

Escuela de Matemáticas, Universidad Industrial de Santander, Bucaramanga, A.A. 678 Colombia

Correspondence to: Élder J. Villamizar-Roa, Escuela de Matemáticas, Universidad Industrial de Santander, A.A. 678 Bucaramanga, Colombia.

E-mail: [email protected]

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Carlos Banquet,

Carlos Banquet

Departamento de Matemáticas y Estadística, Universidad de Córdoba, Montería, A.A. 354 Colombia

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Lucas C. F. Ferreira,

Lucas C. F. Ferreira

IMECC-Departamento de Matemática, Universidade Estadual de Campinas, Campinas-SP, CEP 13083-859 Brazil

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Élder J. Villamizar-Roa,

Corresponding Author

Élder J. Villamizar-Roa

[email protected]

orcid.org/0000-0001-5557-5053

Escuela de Matemáticas, Universidad Industrial de Santander, Bucaramanga, A.A. 678 Colombia

Correspondence to: Élder J. Villamizar-Roa, Escuela de Matemáticas, Universidad Industrial de Santander, A.A. 678 Bucaramanga, Colombia.

E-mail: [email protected]

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First published: 27 April 2017

https://doi.org/10.1002/mma.4412

Citations: 2

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Abstract

We consider a semilinear wave equation with nonlinear damping in the whole space $urn:x-wiley:mma:media:mma4412:mma4412-math-0001$ . Local-in-time existence and uniqueness results are obtained in the class of Bessel-potential spaces $urn:x-wiley:mma:media:mma4412:mma4412-math-0002$ . Copyright © 2017 John Wiley & Sons, Ltd.

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Volume40, Issue15

October 2017

Pages 5613-5618

Solutions in Bessel-potential spaces for wave equations with nonlinear damping

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Solutions in Bessel-potential spaces for wave equations with nonlinear damping

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