Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations

Peter Constantin; Jiahong Wu

Displaying similar documents to “Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations”

Partial continuity for elliptic problems

Mikil Foss, Giuseppe Mingione (2008)

Annales de l'I.H.P. Analyse non linéaire

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A global differentiability result for solutions of nonlinear elliptic problems with controlled growths

Luisa Fattorusso (2008)

Czechoslovak Mathematical Journal

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Let $Ω$ be a bounded open subset of $ℝ^{n}$ , $n > 2$ . In $Ω$ we deduce the global differentiability result $u \in H^{2} (Ω, ℝ^{N})$ for the solutions $u \in H^{1} (Ω, ℝ^{n})$ of the Dirichlet problem $u - g \in H_{0}^{1} (Ω, ℝ^{N}), - \sum_{i} D_{i} a^{i} (x, u, D u) = B_{0} (x, u, D u)$ with controlled growth and nonlinearity $q = 2$ . The result was obtained by first extending the interior differentiability result near the boundary and then proving the global differentiability result making use of a covering procedure.

The canonical tensor fields of type $(1, 1)$ on ${(J^{r} (⊙^{2} T^{}))}^{}$

Paweł Michalec (2003)

Archivum Mathematicum

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We prove that every natural affinor on ${(J^{r} (⊙^{2} T^{*}))}^{*} (M)$ is proportional to the identity affinor if dim $M \geq 3$ .

Displaying similar documents to “Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations”

Partial continuity for elliptic problems

A global differentiability result for solutions of nonlinear elliptic problems with controlled growths

The canonical tensor fields of type ( 1 , 1 ) on ( J r ( ⊙ 2 T * ) ) *

The canonical tensor fields of type $(1, 1)$ on ${(J^{r} (⊙^{2} T^{}))}^{}$