Global existence and dynamic structure of solutions for damped wave equation involving the fractional Laplacian

• Autorzy: Bidi Younes , Beniani Abderrahmane , Zennir Khaled , Himadan Ahmed

Identyfikatory

DOI

10.1515/dema-2021-0022

• Języki publikacji: EN

Abstrakty

EN

We consider strong damped wave equation involving the fractional Laplacian with nonlinear source. The results of global solution under necessary conditions on the critical exponent are established. The existence is proved by using the Galerkin approximations combined with the potential well theory. Moreover, we showed new decay estimates of global solution.

Słowa kluczowe

EN

fractional Laplacian; global existence; fractional Sobolev spaces; potential well; hyperbolic problem

PL

operator Laplace'a; operator różniczkowy; istnienie globalne; przestrzenie Sobolewa; studnia potencjału; zagadnienie hiperboliczne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2021
• Tom: Vol. 54, nr 1
• Strony: 245--258
• Opis fizyczny: Bibliogr 14 poz.

Twórcy

autor

Bidi Younes

• University of Djillali Liabes B.P. 89, Didi bel Abbas 22000, Algeria

autor

Beniani Abderrahmane

• Laboratory of Analysis and Control of Partial Differential Equations, University of Ain Temouchent Belhadj Bouchaib -B.P. 284 RP, Ain Temouchent 46000, Algeria

autor

Zennir Khaled

• Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Qassim, Saudi Arabia; Laboratoire de Mathématiques Appliquées et de Modélisation, Université 8 Mai 1945 Guelma. B.P. 401, Guelma 24000, Algeria

autor

Himadan Ahmed

• Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Qassim, Saudi Arabia

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).