A Class of Fractional Degenerate Evolution Equations with Delay [PDF]
Mathematics, 2020 We establish a class of degenerate fractional differential equations involving delay arguments in Banach spaces. The system endowed by a given background and the generalized Showalter–Sidorov conditions which are natural for degenerate type equations. We
Amar Debbouche, Vladimir E. Fedorov
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Stochastic models associated to a Nonlocal Porous Medium Equation [PDF]
Modern Stochastics: Theory and Applications, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
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Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation [PDF]
Journal of Applied Mathematics, 2014 We consider an abstract Cauchy problem for a doubly nonlinear evolution equation of the form d/dt𝒜u+ℬu∋ft in V′, t∈0, T, where V is a real reflexive Banach space, 𝒜 and ℬ are maximal monotone operators (possibly multivalued) from V to its dual V′.
Ning Su, Li Zhang
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On a Nonlinear Degenerate Evolution Equation with Nonlinear Boundary Damping [PDF]
Journal of Applied Mathematics, 2015 This paper deals essentially with a nonlinear degenerate evolution equation of the form Ku″-Δu+∑j=1nbj∂u′/∂xj+uσu=0 supplemented with nonlinear boundary conditions of Neumann type given by ∂u/∂ν+h·, u′=0.
A. T. Lourêdo +2 more
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Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions
Open Mathematics, 2017 We are interested in the evolution phenomena on star-like networks composed of several branches which vary considerably in physical properties. The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph
Golovaty Yuriy, Flyud Volodymyr
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Multi-Term Fractional Degenerate Evolution Equations and Optimal Control Problems
Mathematics, 2020 A theorem on unique solvability in the sense of the strong solutions is proved for a class of degenerate multi-term fractional equations in Banach spaces.
Marina Plekhanova, Guzel Baybulatova
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On Solvability of Degenerate Linear Evolution Equations with Memory Effects
Известия Иркутского государственного университета: Серия "Математика", 2014 By the methods of the operators semigroups theory a degenerate linear evolution equation with memory in a Banach space is reduced to a system of two equations.
V.E. Fedorov, L.V. Borel
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Degenerate Linear Evolution Equations with the Riemann–Liouville Fractional Derivative
Siberian Mathematical Journal, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vladimir Fedorov, Marina V Plekhanova
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Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework* [PDF]
ESAIM: Proceedings and Surveys, 2023 This work is motivated by the modelling a liquid-vapour flows with phase transition describing the evolution of the coolant within an heat exchanger (e.g. the core of a Pressurized Water Reactor).
Faccanoni Gloria, Galusinski Cédric
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Degenerate Evolution Equations in Hilbert Space [PDF]
Transactions of the American Mathematical Society, 1971 We consider the degenerate evolution equation c 1 ( t ) d u / d t + c 2 ( t ) A ( t ) u = f ( t
Friedman, Avner, Schuss, Zeev
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