A metric approach to a class of doubly nonlinear evolution equations and applications

By Riccarda Rossi, Alexander Mielke, Giuseppe Savar'e. 2008

81 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/82f18277bb972b0a61038cfc1b53afe48b8901f1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Alexander Mielke
2. Riccarda Rossi
3. Giuseppe Savar'e
4. Ulisse Stefanelli
5. Matthias Erbar
6. Luigi Ambrosio
7. Gianni Dal Maso
8. Nicola Gigli

Citations in the corpus

• BV SOLUTIONS AND VISCOSITY APPROXIMATIONS OF RATE-INDEPENDENT SYSTEMS ∗ (2009, background): “As shown in [46,47], in the nonsmooth and nonconvex case one can replace the energy differential DEt with a suitable notion of subdifferential ∂Et.”
• WEIGHTED ENERGY-DISSIPATION FUNCTIONALS FOR GRADIENT FLOWS (2011, background): “which actually paved the way to the analysis of gradient flows of nonconvex functionals (see [1,25,33–35], for instance).”
• Modeling solutions with jumps for rate-independent systems on metric spaces (2008, result): “We also refer to the recent monograph [1], the references therein, and to [26].”
• Nonsmooth analysis of doubly nonlinear evolution equations (2011, background): “First of all, we extend the existence results of [43], which also addressed doubly nonlinear evolution equations driven by nonconvex energies.”