Results 41 to 50 of about 113,647 (186)
Maximal regularity for non-autonomous equations with measurable dependence on time [PDF]
, 2016 In this paper we study maximal $L^p$-regularity for evolution equations with time-dependent operators $A$. We merely assume a measurable dependence on time. In the first part of the paper we present a new sufficient condition for the $L^p$-boundedness of
A Yagi +56 more
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On perturbation theory and critical exponents for self-similar systems
European Physical Journal C: Particles and Fields, 2021 Gravitational critical collapse in the Einstein-axion-dilaton system is known to lead to continuous self-similar solutions characterized by the Choptuik critical exponent $$\gamma $$ γ . We complete the existing literature on the subject by computing the
Ehsan Hatefi, Adrien Kuntz
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Abstract kinetic equations with positive collision operators
, 2007 We consider "forward-backward" parabolic equations in the abstract form $Jd \psi / d x + L \psi = 0$, $ 0< x < \tau \leq \infty$, where $J$ and $L$ are operators in a Hilbert space $H$ such that $J=J^*=J^{-1}$, $L=L^* \geq 0$, and $\ker L = 0$.
A. Fleige +36 more
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Boundary Value Problems, 2019 In this paper, we study a coupled systems of parabolic equations subject to large initial data. By using comparison principle and Kaplan’s method, we get the upper and lower bound for the life span of the solutions.
Sen Zhou
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Uniqueness for weak solutions of parabolic equations with a fractional time derivative
, 2018 We prove uniqueness for weak solutions to abstract parabolic equations with the fractional Marchaud or Caputo time derivative. We consider weak solutions in time for divergence form equations when the fractional derivative is transferred to the test ...
Allen, Mark
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Shadowing for discrete approximations of abstract parabolic equations
Discrete & Continuous Dynamical Systems - B, 2008 This paper is devoted to the numerical analysis of abstract semilinear parabolic problems $u'(t) = Au(t) + f(u(t)), u(0)=u^0,$ in some general Banach space $E$. We prove a shadowing Theorem that compares solutions of the continuous problem with those of a semidiscrete approximation (time stays continuous) in the neighborhood of a hyperbolic ...
Beyn, Wolf-Jürgen, Piskarev, Sergey
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Advances in Difference Equations, 2021 In this work, we study an initial value problem for a system of nonlinear parabolic pseudo equations with Caputo fractional derivative. Here, we discuss the continuity which is related to a fractional order derivative.
Erdal Karapinar +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2008 The paper studies the notion of Stepanov almost periodicity (or $S^2$-almost periodicity) for stochastic processes, which is weaker than the notion of quadratic-mean almost periodicity.
P. Bezandry, Toka Diagana
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Advances in Difference Equations, 2021 We prove the global existence of small data solution in all spaces of all dimensions n ≥ 1 $n\geq 1$ for weakly coupled systems of semilinear effectively damped wave, with different time-dependent coefficients in the dissipation terms.
Abdelhamid Mohammed Djaouti
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Additive domain decomposition operator splittings -- convergence analyses in a dissipative framework
, 2016 We analyze temporal approximation schemes based on overlapping domain decompositions. As such schemes enable computations on parallel and distributed hardware, they are commonly used when integrating large-scale parabolic systems.
Hansen, Eskil, Henningsson, Erik
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