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Infinite Interval Problems for Fractional Evolution Equations

Mathematics, 2022
In this paper, we investigate infinite interval problems for the fractional evolution equations with Hilfer fractional derivative. By using the generalized Ascoli–Arzelà theorem and some new techniques, we prove the existence of mild ...
Yong Zhou
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Stochastic evolution equations

Journal of Soviet Mathematics, 1981
The theory of strong solutions of Ito equations in Banach spaces is expounded. The results of this theory are applied to the investigation of strongly parabolic Ito partial differential equations.
Krylov, N. V., Rozovskij, B. L.
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On an Abstract Evolution Equation

Differential Equations, 2004
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Evolution Equations

2017
Preface Kais Ammari and Stephane Gerbi 1. Controllability of parabolic systems - the moment method Farid Ammar Khodja 2. Stabilization of semilinear PDEs, and uniform decay under discretization Emmanuel Trelat 3. A null controllability result for the linear system of Thermoelastic plates with a single control Carlos Castro and Luz de Teresa 4.
Gerbi, Stéphane, Ammari, Kaïs
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Pseudospherical Surfaces and Evolution Equations

Studies in Applied Mathematics, 1986
We consider evolution equations, mainly of type ut = F(u, ux,..., ∂ku/∂xk), which describe pseudo‐spherical surfaces. We obtain a systematic procedure to determine a linear problem for which a given equation is the integrability condition. Moreover, we investigate how the geometrical properties of surfaces provide analytic information for such ...
Chern, S. S., Tenenblat, K.
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Subsolutions for abstract evolution equations

Potential Analysis, 1992
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Barthélémy, Louise, Bénilan, Philippe
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Evolution equations without semigroups

Applied Mathematics and Computation, 2004
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Non-Linear Equations of Evolution

The Annals of Mathematics, 1964
In the case of equation (2), it is well-known that if we assume that f satisfies a local Lipschitz condition in u, then local solutions of (2) with u(O) = uo will exist. (This is given in detail in [1] and [15]. A straightforward extension of this fact to the case of more general equations of evolution (1) with A(t) = A independent of t is carried ...
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