3 papers
math.AP2023★ 2 cited
Entropy solutions for time-fractional porous medium type equations
Kerstin Schmitz, Petra Wittbold
In this paper we prove existence of entropy solutions to the time-fractional porous medium type equation, $$\partial_t[k\ast(u-u_0)]-\operatorname{div} (A(t,x)\nablaφ(u))=f\text{ i…
math.AP2020
Bounded weak solutions of time-fractional porous medium type and more general nonlinear and degenerate evolutionary integro-differential equations
Petra Wittbold, Patryk Wolejko, Rico Zacher
We prove existence of a bounded weak solution to a degenerate quasilinear subdiffusion problem with bounded measurable coefficients that may explicitly depend on time. The kernel i…
math.AP2020
Entropy solutions of doubly nonlinear fractional Laplace equations
N. Grossekemper, P. Wittbold, A. Zimmermann
In this contribution, we study a class of doubly nonlinear elliptic equations with bounded, merely integrable right-hand side on the whole space . The equation is dri…