Existence and uniqueness of solutions for gradient systems without a compactness embedding condition

Sahbi Boussandel

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 3, page 637-651
  • ISSN: 0011-4642

Abstract

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This paper is devoted to the existence and uniqueness of solutions for gradient systems of evolution which involve gradients taken with respect to time-variable inner products. The Gelfand triple ( V , H , V ' ) considered in the setting of this paper is such that the embedding V ↪ H is only continuous.

How to cite

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Boussandel, Sahbi. "Existence and uniqueness of solutions for gradient systems without a compactness embedding condition." Czechoslovak Mathematical Journal 69.3 (2019): 637-651. <http://eudml.org/doc/294349>.

@article{Boussandel2019,
abstract = {This paper is devoted to the existence and uniqueness of solutions for gradient systems of evolution which involve gradients taken with respect to time-variable inner products. The Gelfand triple $(V,H,V^\{\prime \})$ considered in the setting of this paper is such that the embedding $V\hookrightarrow H$ is only continuous.},
author = {Boussandel, Sahbi},
journal = {Czechoslovak Mathematical Journal},
keywords = {gradient system; existence and uniqueness of solution; Galerkin method; quadratic form; weakly lower semicontinuity; diffusion equation},
language = {eng},
number = {3},
pages = {637-651},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence and uniqueness of solutions for gradient systems without a compactness embedding condition},
url = {http://eudml.org/doc/294349},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Boussandel, Sahbi
TI - Existence and uniqueness of solutions for gradient systems without a compactness embedding condition
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 3
SP - 637
EP - 651
AB - This paper is devoted to the existence and uniqueness of solutions for gradient systems of evolution which involve gradients taken with respect to time-variable inner products. The Gelfand triple $(V,H,V^{\prime })$ considered in the setting of this paper is such that the embedding $V\hookrightarrow H$ is only continuous.
LA - eng
KW - gradient system; existence and uniqueness of solution; Galerkin method; quadratic form; weakly lower semicontinuity; diffusion equation
UR - http://eudml.org/doc/294349
ER -

References

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