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Global solution with -estimates for -equation on q-convex intersections

โœ Scribed by Moulay-Youssef Barkatou; Shaban Khidr


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
130 KB
Volume
284
Category
Article
ISSN
0025-584X

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โœฆ Synopsis


We construct a global solution with C k -estimates for the โˆ‚-equation on q-convex intersections.


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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.