189 citations · 1.1k across the 48 of their papers we have counts for
Showing 2009 · math.APShow all
2 papers · 2 filters
math.AP2009★ 113 cited
BV solutions and viscosity approximations of rate-independent systems
Alexander Mielke, Riccarda Rossi, Giuseppe Savare'
In the nonconvex case solutions of rate-independent systems may develop jumps as a function of time. To model such jumps, we adopt the philosophy that rate independence should be c…
math.AP2009★ 3 cited
High-frequency averaging in semi-classical Hartree-type equations
Johannes Giannoulis, Alexander Mielke, Christof Sparber
We investigate the asymptotic behavior of solutions to semi-classical Schroedinger equations with nonlinearities of Hartree type. For a weakly nonlinear scaling, we show the validi…