Existence and regularity theory in weighted Sobolev spaces and applications
- Speaker(s)
- Raj Narayan Dhara (UW)
- Date
- Oct. 20, 2016, 12:30 p.m.
- Room
- room 4060
- Seminar
- Seminar of Mathematical Physics Equations Group
My emphasis in this thesis is to contribute to the solvability
and uniqueness of solutions to the nonhomogenous boundary value
problems of elliptic type, dealing with degenerate PDEs. My aim is to
consider possibly general class of weights. In particular, I consider
the $B_{p}$-class of weights which is much more general class than the
commonly studied Muckenhoupt $A_{p}$-class. I adapt the general
functional analytical tools, like, Baire method, Minty-Brouder Theorem,
Lax-Miligram Theorem, Ekeland's Variational Principle, to the setting of
degenerate PDEs