Uniqueness and existence of maximal and minimal solutions of fully nonlinear elliptic PDE (Q1779038)
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scientific article; zbMATH DE number 2177449
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness and existence of maximal and minimal solutions of fully nonlinear elliptic PDE |
scientific article; zbMATH DE number 2177449 |
Statements
Uniqueness and existence of maximal and minimal solutions of fully nonlinear elliptic PDE (English)
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21 June 2005
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Two results on the existence and uniqueness of \(L^p\)-viscosity solutions nonlinear elliptic PDEs with measurable coefficients are proved. The first result shows uniqueness for a Bellman-Isaacs type equation with continuous second order coefficients. The second result shows that for general equations minimal and maximal \(L^p\)-viscosity solutions do always exist.
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nonlinear elliptic PDEs
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measurable coefficients
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viscosity solution
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good solution
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uniqueness
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maximal solution
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minimal solution
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Bellman-Isaacs equation
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0.9312457
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0.9270062
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0.92330104
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0.92253727
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0.9213015
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