A comparison theorem for viscosity solutions of first-order subdifferential equations (Q2731383)
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scientific article; zbMATH DE number 1625862
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A comparison theorem for viscosity solutions of first-order subdifferential equations |
scientific article; zbMATH DE number 1625862 |
Statements
21 February 2002
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Hamilton-Jacobi equations
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A comparison theorem for viscosity solutions of first-order subdifferential equations (English)
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The purpose of this paper is to extend the notion of viscosity solution to multivalued equations of the type NEWLINE\[NEWLINEH(Du(x))+u(x)+\partial\varphi(u(x)) = f(x),\quad x\in\Omega,NEWLINE\]NEWLINE where \(\Omega\) is a bounded open set in \(\mathbb{R}^n\), \(H:\mathbb{R}^n\to\mathbb{R}\) and \(f: \mathbb{R}\to \mathbb{R}\) are given continuous functions, and to prove a comparison theorem for viscosity solutions.
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