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Global existence and nonexistence for diffusive polytropic filtration equations with nonlinear boundary conditions

✍ Scribed by Zhaoyin Xiang

Publisher: Springer
Year: 2009
Tongue: English
Weight: 223 KB
Volume: 61
Category: Article
ISSN: 0044-2275
DOI: 10.1007/s00033-009-0028-9

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## Abstract In this paper we consider a nonlinear wave equation with damping and source term on the whole space. For linear damping case, we show that the solution blows up in finite time even for vanishing initial energy. The criteria to guarantee blowup of solutions with positive initial energy a