$L_p$-estimates of the nontangential maximal function for solutions a second-order elliptic equation solutions

A. K. Gushchin

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 53-69.

Résumé

The work contains the survey of results related to the study of near the boundary behavior of the solution of the Dirichlet problem with the boundary function in $L_p,$ $p > 1$ for a second-order elliptic equation. There are new statements and some unsolved problems in this direction.

Détail

Mots-clés : elliptic equation
Keywords: Dirichlet problem, function space.

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