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math.CA2017★ 1 cited
Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi
Florentine Fleißner, Giuseppe Savaré
We consider the Cauchy problem for the gradient flow \begin{equation} \label{eq:81} \tag{} u'(t)=-\nablaϕ(u(t)),\quad t\ge 0;\quad u(0)=u_0, \end{equation} generated by a co…
math.AP2017
Minimal solutions to generalized Lambda-semiflows and gradient flows in metric spaces
Florentine Fleißner
Generalized Lambda-semiflows are an abstraction of semiflows with non-periodic solutions, for which there may be more than one solution corresponding to given initial data. A selec…