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Nonexistence of global weak solutions for classes of nonlinear wave and parabolic equations

✍ Scribed by Howard A Levine; Lawrence E Payne

Book ID
107800430
Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
239 KB
Volume
55
Category
Article
ISSN
0022-247X

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## Abstract In this study, we consider a class of wave equations with strong damping and source terms associated with initial and Dirichlet boundary conditions. We establish a blow up result for certain solutions with nonpositive initial energy as well as positive initial energy. This further impro