The Bernstein estimates of viscosity solutions of linear parabolic equations (Q1916496)
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scientific article; zbMATH DE number 898219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Bernstein estimates of viscosity solutions of linear parabolic equations |
scientific article; zbMATH DE number 898219 |
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The Bernstein estimates of viscosity solutions of linear parabolic equations (English)
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10 July 1997
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The author deduces interior \(C^{1+\alpha}\)-estimates with respect to space-variables for solutions of a linear parabolic equation with coefficients of the same regularity. The only point which makes it nontrivial is the assumption that the elliptic part may degenerate, assuming only semidefiniteness.
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viscosity solutions
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