Katedra Teorii Optymalizacji i Sterowania

TALK TITLE: On a Convergence Criterion for Elliptic Variational Inequalities

ABSTRACT: We consider an elliptic variational inequality with unilateral constraints in a Hilbert space $X$. Under appropriate assumptions on the data, the problem has a unique solution $u$.
We formulate necessary and sufficient conditions on a sequence $\{u_n\}\subset X$ which guarantee  the convergence $u_n\to u$ in the space $X$ (the so-called "a convergence criterion" to the solution $u$). We also provide an application of our results in the study of a heat transfer problem.

The talk is based on the recent paper of C. Gariboldi, A. Ochal, M. Sofonea and D.A. Tarzia (Applicable Analysis, 2023)

https://doi.org/10.1080/00036811.2023.226863

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