Applications of abstract parabolic quasi-variational inequalities to obstacle problems

Risei Kano

Displaying similar documents to “Applications of abstract parabolic quasi-variational inequalities to obstacle problems”

A parabolic quasi-variational inequality arising in hydraulics

Avner Friedman, Robert Jensen (1975)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Solution of degenerate parabolic variational inequalities with convection

Jozef Kacur, Roger Van Keer (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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Degenerate parabolic variational inequalities with convection are solved by means of a combined relaxation method and method of characteristics. The mathematical problem is motivated by Richard's equation, modelling the unsaturated – saturated flow in porous media. By means of the relaxation method we control the degeneracy. The dominance of the convection is controlled by the method of characteristics.

A parabolic quasi-variational inequality arising in a superconductivity model

José Francisco Rodrigues, Lisa Santos (2000)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Certain remarks on a class of evolution quasi-variational inequalities.

Siddiqi, A.H., Manchanda, Pammy (2000)

International Journal of Mathematics and Mathematical Sciences

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Some theorems on partial differential inequalities of parabolic type

P. Besala (1972)

Annales Polonici Mathematici

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Parabolic variational inequalities with generalized reflecting directions

Eduard Rotenstein (2015)

Open Mathematics

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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...