Weighted Gagliardo-Nirenberg inequalities involving BMO norms and solvability of strongly coupled parabolic systems (Q2789502)
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scientific article; zbMATH DE number 6547747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted Gagliardo-Nirenberg inequalities involving BMO norms and solvability of strongly coupled parabolic systems |
scientific article; zbMATH DE number 6547747 |
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1 March 2016
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parabolic systems
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Hölder regularity
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\(A_p\)-classes
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BMO weak solutions
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Weighted Gagliardo-Nirenberg inequalities involving BMO norms and solvability of strongly coupled parabolic systems (English)
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New weighted Gagliardo-Nirenberg inequalities are introduced together with applications to the local/global existence of solutions to nonlinear strongly coupled and uniform parabolic systems of the form NEWLINE\[NEWLINE u_t=\operatorname{div}A(x,t,u,Du)+ f(x,t,u,Du),\quad (x,t)\in Q.NEWLINE\]NEWLINE Much weaker sufficient conditions than those existing in the literature for the solvability of these systems are established.
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