12 citations · 45 across the 9 of their papers we have counts for
9 papers
On pairs of complementary transmission conditions and on approximation of skew Brownian motion by snapping-out Brownian motions
Adam Bobrowski, Elżbieta Ratajczyk
Following our previous work on `perpendicular' boundary conditions, we show that transmission conditions \[ f'(0-)=α(f(0+)-f(0-)), \quad f'(0+)=β(f(0+)-f(0-)),\] describing so-call…
Concatenation of dishonest Feller processes, exit laws, and limit theorems on graphs
Adam Bobrowski
We provide a rather explicit formula for the resolvent of a~concatenation of processes in terms of their exit laws and certain probability measures characterizing the way the p…
Diffusion approximation for a simple kinetic model with asymmetric interface
Adam Bobrowski, Tomasz Komorowski
We study a diffusion approximation for a model of stochastic motion of a particle in one spatial dimension. The velocity of the particle is constant but the direction of the motion…
Modeling diffusion in thin -layers separated by a semi-permeable membrane
Adam Bobrowski
Motivated by models of signaling pathways in B lymphocytes, which have extremely large nuclei, we study the question of how reaction-diffusion equations in thin domains may be…
Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes
Adam Bobrowski
Using techniques of the theory of semigroups of linear operators we study the question of approximating solutions to equations governing diffusion in thin layers separated by a sem…
Irregular convergence of mild solutions of semilinear equations
Adam Bobrowski, Markus Kunze
We prove that even irregular convergence of semigroups of operators implies similar convergence of mild solutions of the related semi-linear equations with Lipschitz continuous non…