Parabolic variational inequalities with generalized reflecting directions

• Autorzy: Eduard Rotenstein
• Języki publikacji: EN

Abstrakty

EN

We study, in a Hilbert framework, some abstract parabolic variational inequalities, governed by reflecting subgradients with multiplicative perturbation, of the following type: y´(t)+ Ay(t)+0.t Θ(t,y(t)) ∂φ(y(t))∋f(t,y(t)),y(0) = y0,t ∈[0,T] where A is a linear self-adjoint operator, ∂φ is the subdifferential operator of a proper lower semicontinuous convex function φ defined on a suitable Hilbert space, and Θ is the perturbing term which acts on the set of reflecting directions, destroying the maximal monotony of the multivalued term. We provide the existence of a solution for the above Cauchy problem. Our evolution equation is accompanied by examples which aim to (systems of) PDEs with perturbed reflection.

Słowa kluczowe

EN

Evolution equations; Oblique reflection; PDEs

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-07-17

zaakceptowano

2015-10-08

online

2015-12-02

Twórcy

autor

Eduard Rotenstein

• Faculty of Mathematics, "Alexandru Ioan Cuza" University of Iaşi, 9 Carol I Blvd.,
  700506, Iaşi, România

Bibliografia

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Identyfikatory

DOI

10.1515/math-2015-0083