General decay for a nonlinear pseudo-parabolic equation with viscoelastic term

• Autorzy: Vu Ngo Tran , Dung Dao Bao , Dung Huynh Thi Hoang

Identyfikatory

DOI

10.1515/dema-2022-0164

• Języki publikacji: EN

Abstrakty

EN

This work is concerned with a multi-dimensional viscoelastic pseudo-parabolic equation with critical Sobolev exponent. First, with some suitable conditions, we prove that the weak solution exists globally. Next, we show that the stability of the system holds for a much larger class of kernels than the ones considered in previous literature. More precisely, we consider the kernel g:[0,∞)⟶(0,∞) satisfying g′(t)⩽−ξ(t)G(g(t)) , where ξ and G are functions satisfying some specific properties.

Słowa kluczowe

EN

pseudo-parabolic equation; viscoelastic; global existence; decay rate

PL

równanie paraboliczne; lepkosprężystość; istnienie globalne; szybkość rozpadu

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 737--751
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Vu Ngo Tran

• University of Economics Ho Chi Minh City, Ho Chi Minh City, Vietnam

autor

Dung Dao Bao

• University of Economics Ho Chi Minh City, Ho Chi Minh City, Vietnam

autor

Dung Huynh Thi Hoang

• Faculty of Fundamental Sciences, University of Architecture Ho Chi Minh City, Ho Chi Minh City, Vietnam

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).