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Pullback Attractors for a Damped Semilinear Wave Equation with Delays.
- Source :
-
Acta Mathematica Sinica . Jul2018, Vol. 34 Issue 7, p1131-1150. 20p. - Publication Year :
- 2018
-
Abstract
- In this paper, we consider the weakly damped wave equations with hereditary effects, and the nonlinearity f satisfies critical growth. The delay term g(t, ut) may be driven by a function with very weak assumptions, namely, just measurability. We analyze the well-posedness of solutions and verify the existence of the pullback D-attractor in CH01(Ω)×CL2(Ω)<inline-graphic></inline-graphic> by constructing the energy functional and combining with the idea of the contractive function. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 34
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 130300272
- Full Text :
- https://doi.org/10.1007/s10114-018-7420-3