Global solutions to the initial-boundary value problem for the quasilinear viscoelastic equation with a derivative nonlinearity

• Autorzy: Nakao M.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2014.34.3.569

• Języki publikacji: EN

Abstrakty

EN

We prove the existence and uniqueness of a global decaying solution to the initial boundary value problem for the quasilinear wave equation with Kelvin-Voigt dissipation and a derivative nonlinearity. To derive the required estimates of the solutions we employ a ‘loan’ method and use a difference inequality on the energy.

Słowa kluczowe

EN

global solutions; energy decay; quasilinear wave equation; Kelvin-Voigt dissipation; derivative nonlinearity

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 3
• Strony: 569--590
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Nakao M.

• Kyushu University Faculty of Mathematics Moto-oka, Fukuoka 819-0395, Japan

Bibliografia

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