4 papers
Characterizing compact coincidence sets in the obstacle problem -- a short proof
Simon Eberle, Georg S. Weiss
Motivated by the almost completely open problem of characterizing unbounded coincidence sets of global solutions of the classical obstacle problem in higher dimensions, we give in…
Front blocking in the presence of gradient drift
Simon Eberle
In this paper we derive quantitative conditions under which a compactly supported drift term blocks the propagation of a traveling wave in a straight cylinder in dimension $n \geq…
Front blocking versus propagation in the presence of a drift term in the direction of propagation
Simon Eberle
In this paper we derive quantitative conditions under which a compactly supported drift term depending on the direction of propagation blocks a traveling wave solution or lets it p…
A heteroclinic orbit connecting traveling waves pertaining to different nonlinearities
Simon Eberle
In this paper we consider a semilinear parabolic equation in an infinite cylinder. The spatially varying nonlinearity is such that it connects two (spatially independent) bistable…