On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources (Q1900177)
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scientific article; zbMATH DE number 806443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources |
scientific article; zbMATH DE number 806443 |
Statements
On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources (English)
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17 October 1995
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A parabolic \(p\)-Laplacian equation with a nonlinear source is considered. The nonlinear source has a coefficient that depends strongly on the space variables. Solvability of the Cauchy problem is studied when the initial function is merely locally integrable or even a Radon measure. A uniqueness result is also shown, and existence of initial traces of nonnegative solutions is discussed.
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parabolic \(p\)-Laplacian
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initial traces
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