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4 papers · 2 filters
Well-posedness and spectral properties of heat and wave equations with non-local conditions
Delio Mugnolo, Serge Nicaise
We consider the one-dimensional heat and wave equations but -- instead of boundary conditions-- we impose on the solution certain non-local, integral constraints. An appropriate Hi…
Inhomogeneous Parabolic Neumann Problems
Robin Nittka
We study second order parabolic equations on Lipschitz domains subject to inhomogeneous Neumann (or, more generally, Robin) boundary conditions. We prove existence and uniqueness o…
Quasilinear elliptic and parabolic Robin problems on Lipschitz domains
Robin Nittka
We prove Hölder continuity up to the boundary for solutions of quasi-linear degenerate elliptic problems in divergence form, not necessarily of variational type, on Lipschitz domai…
A priori bounds for weak solutions to elliptic equations with nonstandard growth
Patrick Winkert, Rico Zacher
In this paper we study elliptic equations with a nonlinear conormal derivative boundary condition involving nonstandard growth terms. By means of the localization method and De Gio…