We study linear evolution equations in separable Hilbert spaces defined by a bounded linear operator. We answer the question which of these equations can be written as a gradient flow, namely those for which the operator is real diagonalisable. The proof is constructive, from which we also derive geodesic lambda-convexity
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to th...
In this paper we present a stochastic homogenization result for a class of Hilbert space evolutionar...
In this paper we present a stochastic homogenization result for a class of Hilbert space evolutionar...
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space governed b...
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space $H$ $$ u?(...
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space $\mathcal{...
This note addresses the Cauchy problem for the gradient flow equation in a Hilbert space governed by ...
We are interested in the gradient flow of a general first order convex functional with respect to th...
We study the main consequences of the existence of a Gradient Flow (GF for short), in the form of Ev...
Abstract. This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space ...
Gradient flows of energy functionals on the space of probability measures with Wasserstein metric ha...
Deterministic evolutions are defined without ad hoc hypotheses but in the context of the axiomatic a...
This is the first of a series of papers devoted to a thorough analysis of the class of gradient flow...
An abstract evolution equation in Hilbert spaces with Hölder continuous drift is considered. By proc...
We study a non-autonomous, non-linear evolution equation on the space of operators on a complex Hilb...
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to th...
In this paper we present a stochastic homogenization result for a class of Hilbert space evolutionar...
In this paper we present a stochastic homogenization result for a class of Hilbert space evolutionar...
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space governed b...
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space $H$ $$ u?(...
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space $\mathcal{...
This note addresses the Cauchy problem for the gradient flow equation in a Hilbert space governed by ...
We are interested in the gradient flow of a general first order convex functional with respect to th...
We study the main consequences of the existence of a Gradient Flow (GF for short), in the form of Ev...
Abstract. This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space ...
Gradient flows of energy functionals on the space of probability measures with Wasserstein metric ha...
Deterministic evolutions are defined without ad hoc hypotheses but in the context of the axiomatic a...
This is the first of a series of papers devoted to a thorough analysis of the class of gradient flow...
An abstract evolution equation in Hilbert spaces with Hölder continuous drift is considered. By proc...
We study a non-autonomous, non-linear evolution equation on the space of operators on a complex Hilb...
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to th...
In this paper we present a stochastic homogenization result for a class of Hilbert space evolutionar...
In this paper we present a stochastic homogenization result for a class of Hilbert space evolutionar...
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