Boundary hemivariational inequality of parabolic type

By Stanislaw Migórski, Anna Ochal. 2004

87 citations recorded by the source corpus.

Abstract In this paper we consider a parabolic hemivariational inequality with a nonmonotone multivalued boundary condition and with a time-dependent pseudomonotone operator. We establish the existence of solutions for such inequality. Our proof is based on a known surjectivity result for operators of pseudomonotone type. We present an example of semipermeability heat conduction problem to which the result applies.

Subfields: Automotive Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/1dd5b841065dca9c21b5e77f3550fc2f68090072

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In Automotive Engineering

1. Anna Ochal
2. Stanislaw Migórski

In Computational Theory and Mathematics

1. Anna Ochal
2. Stanislaw Migórski
3. Mircea-Traian Sofonea

In Mechanics of Materials

1. Anna Ochal
2. Stanislaw Migórski
3. Mircea-Traian Sofonea

Citations in the corpus

• Hemivariational inequalities for stationary Navier–Stokes equations (2005, background): “9], Alekseev and Smishliaev [1], Migorski and Ochal [18] and Chebotarev [8,9] and the references therein.”
• A Unified Approach to Dynamic Contact Problems in Viscoelasticity (2006, methodology): “We refer to Migo ´rski [23] and Migo ´rski and Ochal [ 25 ] for”