Results 11 to 20 of about 1,311,801 (336)
ON UNIQUENESS OF MILD SOLUTIONS FOR DISSIPATIVE STOCHASTIC EVOLUTION EQUATIONS [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2010 In the semigroup approach to stochastic evolution equations, the fundamental issue of uniqueness of mild solutions is often "reduced" to the much easier problem of proving uniqueness for strong solutions. This reduction is usually carried out in a formal way, without really justifying why and how one can do that.
Marinelli, Carlo, Röckner, Michael
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Mild Solution of Semilinear SPDEs with Young Drifts [PDF]
arXiv, 2023 17 ...
Liang, Jiahao, Tang, Shanjian
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On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs [PDF]
Stochastic Analysis and Applications, 2020 The main goal of this work is to relate weak and pathwise mild solutions for parabolic quasilinear stochastic partial differential equations (SPDEs). Extending in a suitable way techniques from the theory of nonautonomous semilinear SPDEs to the quasilinear case, we prove the equivalence of these two solution concepts.
Dhariwal, Gaurav +2 more
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AIMS Mathematics, 2022 This article contracts through Cauchy problems in infinite-dimensional Banach spaces towards a system of nonlinear non-autonomous mixed type integro-differential fractional evolution equation by nonlocal conditions through noncompactness measure (MNC ...
Naveed Iqbal +4 more
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Qualitative analysis of nonlinear implicit neutral differential equation of fractional order
AIMS Mathematics, 2021 In this paper, we discuss sufficient conditions for the existence of solutions for a class of Initial value problem for an neutral differential equation involving Caputo fractional derivatives. Also, we discuss some types of Ulam stability for this class
H. H. G. Hashem, Hessah O. Alrashidi
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AIMS Mathematics, 2020 This paper deals with the existence of mild solutions for non-linear fractional integrodifferential equations with state-dependent nonlocal conditions. The technique used is a generalization of the classical Darbo fixed point theorem for Fréchet spaces ...
Mouffak Benchohra +3 more
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Известия Иркутского государственного университета: Серия "Математика", 2022 In this work, we will introduce a fractional Duhamel principle and use it to establish the well-boundedness and stability of a mild solution to an original fractional stochastic equation with initial data.
N. Bouteraa
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Asymptotic properties of the parabolic equation driven by stochastic measure
Modern Stochastics: Theory and Applications, 2022 A stochastic parabolic equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure, for which we assume only σ-additivity in probability, is considered. The asymptotic behavior of its solution as $t\to \infty $ is studied.
Boris Manikin
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Numerical analysis of nonlinear parabolic problems with variable exponent and $L^1$ data
Cubo, 2022 In this paper, we make the numerical analysis of the mild solution which is also an entropy solution of parabolic problem involving the $p(x)-$Laplacian operator with $L^1-$ data.
Stanislas Ouaro +2 more
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The Burgers equation driven by a stochastic measure
Modern Stochastics: Theory and Applications, 2023 The class of one-dimensional equations driven by a stochastic measure μ is studied. For μ only σ-additivity in probability is assumed. This class of equations includes the Burgers equation and the heat equation.
Vadym Radchenko
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