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Nonlinear Wave Equations on the Two-Dimensional Sphere

✍ Scribed by Mohammad A. Rammaha; Theresa A. Strei

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
116 KB
Volume
267
Category
Article
ISSN
0022-247X

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✦ Synopsis

We study a nonlinear wave equation on the two-dimensional sphere with a blowing-up nonlinearity. The existence and uniqueness of a local regular solution are established. Also, the behavior of the solutions is examined. We show that a large class of solutions to the initial value problem quench in finite time.  2002 Elsevier Science (USA)

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