Results 51 to 60 of about 341,593 (214)
Almost periodic evolution systems with impulse action at state-dependent moments
, 2016 We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present conditions excluding the beating phenomenon in these systems.
Hakl, Robert +3 more
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Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems [PDF]
, 2018 This paper investigates the link between the null controllability property for some abstract parabolic problems and an inequality that can be seen as a quantified Fattorini-Hautus test.
Ammar-Khodja, Farid +3 more
core +3 more sources
Electronic Journal of Differential Equations, 2020 Recently, a time discretization of simultaneous abstract evolution equations applied to parabolic-hyperbolic phase-field systems has been studied. This article focuses on a time discretization of an abstract problem that has application to linearized
Shunsuke Kurima
doaj
A new parallel algorithm for solving parabolic equations
Advances in Difference Equations, 2018 In this paper, a new parallel algorithm for solving parabolic equations is proposed. The new algorithm includes two domain decomposition methods, each method is applied to compute the values at (n+1) $(n+1)$st time level by use of known numerical ...
Guanyu Xue, Hui Feng
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Weak order for the discretization of the stochastic heat equation [PDF]
, 2007 In this paper we study the approximation of the distribution of $X_t$ Hilbert--valued stochastic process solution of a linear parabolic stochastic partial differential equation written in an abstract form as $$ dX_t+AX_t dt = Q^{1/2} d W_t, \quad X_0=x ...
Debussche, Arnaud, Printems, Jacques
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Quasilinear Evolution Equations in LμP-Spaces with Lower Regular Initial Data
Journal of Function Spaces, 2018 We study the Cauchy problem of the quasilinear evolution equations in Lμp-spaces. Based on the theories of maximal Lp-regularity of sectorial operators, interpolation spaces, and time-weighted Lp-spaces, we establish the local posedness for a class of ...
Qinghua Zhang
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Boundary Value Problems, 2019 In this paper, we study a coupled systems of parabolic equations subject to large initial data. By using comparison principle and Kaplan’s method, we get the upper and lower bound for the life span of the solutions.
Sen Zhou
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On perturbation theory and critical exponents for self-similar systems
European Physical Journal C: Particles and Fields, 2021 Gravitational critical collapse in the Einstein-axion-dilaton system is known to lead to continuous self-similar solutions characterized by the Choptuik critical exponent $$\gamma $$ γ . We complete the existing literature on the subject by computing the
Ehsan Hatefi, Adrien Kuntz
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A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data [PDF]
Journal of Inverse and Ill-Posed Problems, 2019 We propose a new numerical method for the solution of the problem of the reconstruction of the initial condition of a quasilinear parabolic equation from the measurements of both Dirichlet and Neumann data on the boundary of a bounded domain.
T. Le, L. Nguyen
semanticscholar +1 more source
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
core +3 more sources