Results 11 to 20 of about 1,571 (266)
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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Degenerate parabolic equations appearing in atmospheric dispersion of pollutants
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
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Solvability and completeness of solutions of parabolic differential-operator equations [PDF]
Математичні Студії, 2011 We consider an abstract Cauchy problem for parabolic differential-operator equations in Hilbert spaces. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system of parabolic differential equations.
M. M. Mamedov
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Embedding Operators in Vector-Valued Weighted Besov Spaces and Applications
Journal of Function Spaces and Applications, 2012 The embedding theorems in weighted Besov-Lions type spaces 𝐵𝑙,𝑠𝑝,𝑞,𝛾 (Ω;𝐸0,𝐸) in which 𝐸0,𝐸 are two Banach spaces and 𝐸0⊂𝐸 are studied. The most regular class of interpolation space 𝐸𝛼 between 𝐸0 and E is found such that the mixed differential operator ...
Veli Shakhmurov
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Analysis of black hole solutions in parabolic class using neural networks
European Physical Journal C: Particles and Fields, 2023 In this paper, we introduce a numerical method based on Artificial Neural Networks (ANNs) for the analysis of black hole solutions to the Einstein-axion-dilaton system in a high dimensional parabolic class.
Ehsan Hatefi +2 more
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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 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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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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Abstract quasilinear parabolic equations
Mathematische Annalen, 1984 The author deals with an abstract quasilinear parabolic problem \(u'(t)=A(t,u(t))u(t)+f(t,u(t)), t>0\), \(u(0)=u_ 0\) in a Banach space X. His theorems on existence and uniqueness are such that a concrete quasilinear parabolic problem can be attacked without imposing growth conditions on the coefficients.
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