CORDIS Project
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This project investigates weighted Sobolev spaces to solve degenerate partial differential equations. It aims to develop a new class of double-weighted Sobolev spaces and analyze their properties to construct solutions for boundary value problems in elliptic equations.
Sobolev spaces were introduced as solution spaces of elliptic partial differential equations.
The theoretical study of Sobolev spaces is mainly motivated by the applications to the resolution of partial differential equations.
Weighted Sobolev spaces allow to solve degenerate partial differential equations.
In this respect, compact embeddings of Sobolev spaces play a crucial role.
In recent works, V.
Gol'dshtein and A.
Ukhlov obtained compact embedding properties for weighted Sobolev spaces, con…
BEN-GURION UNIVERSITY OF THE NEGEV
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