Solvability of the Showalter - Sidorov Problem for Sobolev Type Equations with Operators in the Form of First-Order Polynomials from the Laplace - Beltrami Operator on Differential Forms

DOI10.14529/jcem170304zbMath1458.76106OpenAlexW2766147193MaRDI QIDQ4972194

Natal'Ya Viktorovna Adukova, D. E. Shafranov

Publication date: 23 November 2019

Published in: Journal of Computational and Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jcem97

zbMATH Keywords

Riemannian manifold without boundaryBarenblatt-Zheltov-Kochina problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Applications of differential geometry to physics (53Z05)

Related Items (1)

Sobolev Type Equations in Spaces of Differential Forms on Riemannian Manifolds Without Boundary

Cites Work

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• The Showalter-Sidorov problem as a phenomena of the Sobolev-type equations
• On Some Properties of Solutions to One Class of Evolution Sobolev Type Mathematical Models in Quasi-Sobolev Spaces
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• The Dynamical Models of Sobolev Type with Showalter - Sidorov Condition and Additive "Noise"
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• Bounded Solutions of Barenblatt — Zheltov — Kochina Model in Quasi-Sobolev Spaces

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