In this paper, we study the strongly damped quasilinear wave equation. By using spatial sequence techniques and energy estimate methods, we obtain the existence theorem of the solution to abstract a strongly damped wave equation and to a class of strongly damped quasilinear wave equations.
机构:
Nanjing Univ, Dept Math, Nanjing 210093, Peoples R ChinaLanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
Yang, Meihua
Sun, Chunyou
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机构:
Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R ChinaLanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China