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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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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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 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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Quasilinear degenerate evolution equations in Banach spaces [PDF]
Journal of Evolution Equations, 2004 The paper is concerned with the Cauchy problem for the quasilinear degenerate evolution equation of parabolic type in a Banach space \(X\): \[ {{dMv}\over{dt}} +L(Mv)v=F(Mv), \quad \;Mv(0)=u_0, \quad ...
FAVINI, ANGELO, A. Yagi
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Two-Scale Homogenization of Implicit Degenerate Evolution Equations
Journal of Mathematical Analysis and Applications, 1997 In the framework of two-scale convergence for homogenization of partial differential equations with periodic coefficients, the authors show how the two-scale method can also be applied to evolution equations, including degenerate and implicit equations, where the coefficients are \(\varepsilon\)-periodic in the space variable.
Clark, G.W., Packer, L.A.
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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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Gauge-Invariant Initial Conditions and Early Time Perturbations in Quintessence Universes [PDF]
, 2003 We present a systematic treatment of the initial conditions and evolution of cosmological perturbations in a universe containing photons, baryons, neutrinos, cold dark matter, and a scalar quintessence field.
A.K. Rebhan +32 more
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On a nonlinear degenerate evolution equation with strong damping
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we consider the nonlinear degenerate evolution equation with strong damping,(*) {K(x,t)utt−Δu−Δut+F(u)=0 in Q=Ω×]0,T[u(x,0)=u0, (ku′)(x,0)=0 in Ωu(x,t)=0 on ∑=Γ×]0,T[where K is a function with K(x,t)≥0, K(x,0)=0 ...
Jorge Ferreira +1 more
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