The Cauchy Problem for the Sobolev Type Equation of Higher Order

DOI10.14529/MMP180101zbMath1402.35085OpenAlexW2802204574WikidataQ129942229 ScholiaQ129942229MaRDI QIDQ4692132

Evgeniĭ Viktorovich Bychkov, Alena Aleksandrovna Zamyshlaeva

Publication date: 26 October 2018

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyuru413

zbMATH Keywords

phase space methodCauchy conditionion-acoustic waves in plasmarelatively polynomially bounded operator pencilssemilinear Sobolev-type equation of higher order

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (8)

Optimal Control of Solutions to the Showalter-Sidorov Problem in a Model of Linear Waves in Plasma ⋮ Finite Difference Method for Modified Boussinesq Equation ⋮ Semilinear Sobolev Type Mathematical Models ⋮ Semilinear Models of Sobolev Type. Non-Uniqueness of Solution to the Showalter-Sidorov Problem ⋮ Invariant Manifolds of Semilinear Sobolev Type Equations ⋮ Sobolev Type Equations in Spaces of Differential Forms on Riemannian Manifolds Without Boundary ⋮ Sobolev-Type Systems and Applied Problems ⋮ ON ONE EQUATION OF INTERNAL WAVES

Cites Work

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• Optimal control of the solutions of the initial-finish problem for the linear Hoff model
• The phase space of a higher order Sobolev type equation
• Introduction to differentiable manifolds.
• The phase spaces of a class of linear higher-order Sobolev type equations
• The Optimal Measurement Problem for the Measurement Transducer Model with a Deterministic Multiplicative Effect and Inertia

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