×

On the internal compactness of the space of regular solutions of one class of second order operator-differential equations with a discontinuous coefficient. (English) Zbl 07401982

Summary: In paper given definition of the internal compactness of the space of regular solutions of one class of homogeneous operator-differential equations of second order with a discontinuous coefficient and found sufficient conditions for the internal compactness of these solutions.

MSC:

35B99 Qualitative properties of solutions to partial differential equations
35J15 Second-order elliptic equations
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
PDF BibTeX XML Cite
Full Text: Link