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Prowadzący: prof. Stanisław Migórski, dr hab. Anna Ochal
Sala: 1177
Termin: czwartek godz. 10.15-11.45
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Referaty planowane w roku akademickim 2023/2024
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30 listopada 2023, Anna Ochal
On a Convergence Criterion for Elliptic Variational Inequalities
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