On the second order derivatives of solutions of a special Isaacs equation (Q2790260)
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scientific article; zbMATH DE number 6549219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the second order derivatives of solutions of a special Isaacs equation |
scientific article; zbMATH DE number 6549219 |
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On the second order derivatives of solutions of a special Isaacs equation (English)
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3 March 2016
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Isaac equation
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viscosity solutions
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The author investigates continuity and integrability properties of the second-order derivatives of viscosity solutions \(u\in C(D)\) of the uniformly elliptic Isaacs equation NEWLINE\[NEWLINE F(u_{xx}):=\Delta u+(u_{x^1x^1})_+ - (u_{x^2x^2})_-=0 \qquad \text{ in } D. NEWLINE\]NEWLINE There are given sufficient and necessary conditions for continuity of the second-order derivatives and sufficient conditions for interior \(W^{2,p}\) regularity, \(1<p<\infty\).
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