The initial value problem for a nonlinear nonuniform parabolic equation |
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Authors: | Gustavo Ponce |
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Affiliation: | (1) Present address: Dept. of Mathematics, University of Chicago, 60637 Chicago, Ill., USA |
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Abstract: | Summary The initial value problem for a nonlinear nonuniform parabolic equation is studied The coefficient of the nonlinear term is defined by the operator (–)/2. The goal is to prove the global existence of a smooth solution for any smooth initial data. Conditions which guarantee the above result are given. They involve the parameter and the dimension n. |
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