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Global existence of null-form wave equations on small asymptotically Euclidean manifolds

โœ Scribed by Wang, Chengbo; Yu, Xin


Book ID
122248867
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
444 KB
Volume
266
Category
Article
ISSN
0022-1236

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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.