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Existence and uniqueness of solutions to degenerate semilinear parabolic equations

✍ Scribed by Andreas Stahel


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
858 KB
Volume
93
Category
Article
ISSN
0022-0396

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We study the degenerate parabolic equation u q ٌ ΠΈ f s ٌ ΠΈ Qٌu q g, where t Ε½ . ## N q x,t g‫ޒ‬ ‫ޒ=‬ , the flux f, the viscosity coefficient Q, and the source term g Ε½ . depend on x, t, u and Q is nonnegative definite. Due to the possible degeneracy, weak solutions are considered. In general, the