3 papers
math.AP2021
Existence of solutions to a fully nonlinear free transmission problem
Edgard A. Pimentel, Andrzej Święch
We study an equation governed by a discontinuous fully nonlinear operator. Such discontinuities are solution-dependent, which introduces a free boundary. Working under natural assu…
math.AP2018
Weak Harnack inequality for fully nonlinear uniformly parabolic equations with unbounded ingredients and applications
Shigeaki Koike, Andrzej Swiech, Shota Tateyama
The weak Harnack inequality for -viscosity supersolutions of fully nonlinear second-order uniformly parabolic partial differential equations with unbounded coefficients and in…
math.AP2018
Coupling Levy measures and comparison principles for viscosity solutions
Nestor Guillen, Chenchen Mou, Andrzej Swiech
We prove new comparison principles for viscosity solutions of non-linear integro-differential equations. The operators to which the method applies include but are not limited to th…