Article
MSC:
35F20,
35F25,
35F30,
35K57,
47H05,
47J05 | MR 3989271 | Zbl 07088809 | DOI: 10.21136/CMJ.2019.0416-17
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Keywords:
gradient system; existence and uniqueness of solution; Galerkin method; quadratic form; weakly lower semicontinuity; diffusion equation
gradient system; existence and uniqueness of solution; Galerkin method; quadratic form; weakly lower semicontinuity; diffusion equation
Summary:
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 $V\hookrightarrow H$ is only continuous.
References:
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