Moscow Mathematical Society

Boundary properties of solutions of differential equations and general boundary-value problems

Author(s): V. P. Burskii
Translated by: G. G. Gould
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 68 (2007).
Journal: Trans. Moscow Math. Soc. 2007, 163-200.
MSC (2000): Primary 35G05, 35B30, 35E20, 35A05, 35B05
Posted: October 29, 2007
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Abstract: For a general differential operator with smooth matrix-valued coefficients in a bounded domain with smooth boundary we consider the boundary properties of functions from the domain of definition of a maximal extension in $L_2(\Omega)$ and we study the properties of extensions and boundary-value problems corresponding to them. The investigations are based on Green's formula.

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