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On sharp decay estimates of solutions for mildly degenerate dissipative wave equations of Kirchhoff type

✍ Scribed by Kosuke Ono

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 204 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1443

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We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.