THE SHOWALTER-SIDOROV AND CAUCHY PROBLEMS FOR THE LINEAR DZEKZER EQUATION WITH WENTZELL AND ROBIN BOUNDARY CONDITIONS IN A BOUNDED DOMAIN

DOI10.14529/mmph220106zbMath1486.76083OpenAlexW4288769001MaRDI QIDQ5068242

Nikita Sergeevich Goncharov, Sofiya Aleksandrovna Zagrebina, Georgiĭ Anatol'evich Sviridyuk

Publication date: 6 April 2022

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyurm511

zbMATH Keywords

Cauchy conditionNelson-Gliklikh derivativeShowalter-Sidorov conditionWentzell conditiondeterministic and stochastic Sobolev-type equationsDzekzer equation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35)

Related Items (1)

An Analysis of the Wentzell Stochastic System of the Equations of Moisture Filtration in a Ball and on Its Boundary

Cites Work

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• Some Mathematical Models with a Relatively Bounded Operator and Additive "White Noise" in Spaces of Sequences
• $C_0$-semigroups generated by second order differential operators with general Wentzell boundary conditions

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