Results 31 to 40 of about 113,647 (186)
First-Order Regular and Degenerate Identification Differential Problems
Abstract and Applied Analysis, 2015 We are concerned with both regular and degenerate first-order identification problems related to systems of differential equations of weakly parabolic type in Banach spaces. Several applications to partial differential equations and systems will be given
A. Favini, A. Lorenzi, H. Tanabe
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A posteriori error estimates for fully discrete fractional-step ϑ-approximations for parabolic equations [PDF]
, 2015 This is a pre-copyedited, author-produced PDF of an article accepted for publication in IMA Journal of Numerical Analysis following peer review. The version of record A posteriori error estimates for fully discrete fractional-step ϑ-approximations for ...
Akrivis +4 more
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Feedback control for an abstract parabolic equation [PDF]
, 1987 Abstract : In their previous paper, the authors considered the problem of the exponential stabilization of the heat equation with Neumann boundary conditions in the smooth and bounded domain OMEGA in R(exp n), where partial derivative/partial derivative nu denotes the differentiation in the direction normal to the boundary partial derivative OMEGA. The
Rouben Rostamian +2 more
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A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem
Journal of Inequalities and Applications, 2018 In this paper, we investigate the spectral approximation of optimal control problem governed by nonlinear parabolic equations. A spectral approximation scheme for the nonlinear parabolic optimal control problem is presented. We construct a fully discrete
Lin Li +4 more
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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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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
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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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Mixed problems for degenerate abstract parabolic equations and applications [PDF]
, 2017 Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed $L_{p ...
Sahmurova, Aida, Shakhmurov, Veli
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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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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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