\(W_\omega^{2,p}\)-solvability of the Cauchy-Dirichlet problem for nondivergence parabolic equations with BMO coefficients (Q2880085)
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scientific article; zbMATH DE number 6023032
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(W_\omega^{2,p}\)-solvability of the Cauchy-Dirichlet problem for nondivergence parabolic equations with BMO coefficients |
scientific article; zbMATH DE number 6023032 |
Statements
12 April 2012
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nondoubling weighted spaces
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strong solutions
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0.94501996
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0.9308816
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0.91960156
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0.90152824
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0.9004111
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0.8983654
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0.89800715
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0.89751166
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0.89553046
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0.8954876
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\(W_\omega^{2,p}\)-solvability of the Cauchy-Dirichlet problem for nondivergence parabolic equations with BMO coefficients (English)
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The author studies global reguarity in nondoubling weighted spaces of strong solutions to the Cauchy-Dirichlet problem for nondivergent parabolic equations with parameter \(\lambda\geq 0\) defined by NEWLINE\[NEWLINE u_t-\sum_{i,j=1}^n a_{ij}(x)D_{ij}u(x)+\lambda u=f\quad \text{a.e. in } \;\Omega_T. NEWLINE\]
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