Degenerate Nonlinear Semigroups of Operators and Their Applications

DOI10.1007/978-3-030-46079-2_21zbMath1501.47095OpenAlexW3035639292MaRDI QIDQ5115942

Ksenia V. Vasiuchkova, Natal'ya Aleksandrovna Manakova, Georgiĭ Anatol'evich Sviridyuk

Publication date: 21 August 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-46079-2_21

zbMATH Keywords

Cauchy problemsemilinear Sobolev-type equationsadditive ``noisesgeneralized Boussinesq filtration equationsresolving nonlinear semigroup of operator

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Abstract parabolic equations (35K90) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (1)

Invariant Manifolds of the Hoff Model in "Noise" Spaces

Cites Work

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• Linear Sobolev type equations with relatively \(p\)-radial operators in space of ``noises
• One class of Sobolev type equations of higher order with additive ``white noise
• Nonlinear semigroups and the existence and stability of solutions to semilinear nonautonomous evolution equations
• The phase space of an initial-boundary value problem for the Hoff equation.
• Whitney folds in phase of some semilinear Sobolev-type equations
• A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups
• The phase space of the Cauchy-Dirichlet problem for the Oskolkov equation of nonlinear filtration
• Linear Sobolev type equations and degenerate semigroups of operators
• Nonlinear semigroups in Hilbert space
• Nonlinear semigroups and evolution equations
• Some Generalizations of the Showalter - Sidorov Problem for Sobolev-Type Models
• Regularity Results and Solution Semigroups for Retarded Functional Differential Equations
• Blow-up in Nonlinear Sobolev Type Equations
• The sobolev equation, i
• One-Parameter Semigroups for Linear Evolution Equations
• QUASISTATIONARY TRAJECTORIES OF SEMILINEAR DYNAMICAL EQUATIONS OF SOBOLEV TYPE
• NONCLASSICAL EQUATIONS OF MATHEMATICAL PHYSICS. PHASE SPACE OF SEMILINEAR SOBOLEV TYPE EQUATIONS
• Asymptotic expansions for a model with distinguished “fast” and “slow” variables, described by a system of singularly perturbed stochastic differential equations
• The Higher-Order Sobolev-Type Models
• Phase Space of the Initial-Boundary Value Problem for the Oskolkov System of Highest Order
• About Nonuniqueness of Solutions of the Showalter-Sidorov Problem for One Mathematical Model of Nerve Impulse Spread in Membrane
• The Dynamical Models of Sobolev Type with Showalter - Sidorov Condition and Additive "Noise"
• Analytic semigroups and optimal regularity in parabolic problems

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