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Periodic solutions of a parabolic equation with homogeneous Dirichlet boundary condition and linearly increasing discontinuous nonlinearity

โœ Scribed by V. N. Pavlenko, M. S. Fedyashev


Book ID
118811707
Publisher
Springer
Year
2013
Tongue
English
Weight
188 KB
Volume
64
Category
Article
ISSN
0041-5995

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Blow-up solutions for a class of nonline
โœ Juntang Ding ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 119 KB

In the present paper, the blow up of smooth local solutions for a class of nonlinear parabolic equations u;t =โˆ‡(a(u)โˆ‡u) + f(x; u; q; t) (q = |โˆ‡u| 2 ) with Dirichlet boundary conditions are studied. By constructing an auxiliary function and using Hopf's maximum principles on it, the su cient conditio