On regularity of solutions to systems of partial differential equations which are locally close to elliptic systems of linear equations with constant coefficients. I (Q1963408)
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scientific article; zbMATH DE number 1396799
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On regularity of solutions to systems of partial differential equations which are locally close to elliptic systems of linear equations with constant coefficients. I |
scientific article; zbMATH DE number 1396799 |
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On regularity of solutions to systems of partial differential equations which are locally close to elliptic systems of linear equations with constant coefficients. I (English)
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31 January 2000
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Considering a~nonlinear system of partial differential equations in \(\mathbb R^n\), the author describes conditions for solutions to satisfy the following: The power of local summability of higher derivatives coincides with that of some functions determined from lower terms. The crucial condition is local proximity of the system to a~constant-coefficient elliptic system.
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nonlinear system
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local ellipticity
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local regularity of a solution
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0.91533357
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0.88719314
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0.8862358
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