Results 71 to 80 of about 341,593 (214)
Abstract quasilinear parabolic equations with variable domains
Differential and Integral Equations, 1991 The Cauchy problem for the equation \(u'=A(u)u+f(u)\) is studied in a Banach space \(X\). The main supposition is the existence of a constant interpolation space between \(D(A)\) and \(X\), allowing the reduction to the case with constant domain.
openaire +4 more sources
On the solvability of some parabolic equations involving nonlinear boundary conditions with L^{1} data [PDF]
Opuscula MathematicaWe analyze the existence of solutions for a class of quasilinear parabolic equations with critical growth nonlinearities, nonlinear boundary conditions, and \(L^1\) data.
Laila Taourirte +2 more
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Perturbations of time optimal control problems for a class of abstract parabolic systems [PDF]
, 2015 In this work we study the asymptotic behavior of the solutions of a class of abstract parabolic time optimal control problems when the generators converge, in an appropriate sense, to a given strictly negative operator.
Tucsnak, Marius +2 more
core +3 more sources
, 2017 Domain decomposition based time integrators allow the usage of parallel and distributed hardware, making them well-suited for the temporal discretization of parabolic systems, in general, and degenerate parabolic problems, in particular.
Eisenmann, Monika, Hansen, Eskil
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Numerical approximation of the 3rd order pseudo-parabolic equation using collocation technique
Boundary Value ProblemsThis study presents a novel numerical approach for approximating the solution of third-order pseudo-parabolic partial differential equations (PDEs), which exhibit both parabolic and hyperbolic characteristics.
Neeraj Dhiman +4 more
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Estimations of fractional integral operators for convex functions and related results
Advances in Difference Equations, 2020 This research investigates the bounds of fractional integral operators containing an extended generalized Mittag-Leffler function as a kernel via several kinds of convexity.
Zhihua Chen +3 more
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Convergence and stability of stochastic parabolic functional differential equations
Advances in Difference Equations, 2018 The main purpose of this paper is to investigate the convergence and stability of stochastic parabolic functional differential equations. Firstly, a comparison theorem in the context of Lyapunov-like function together with differential inequality is ...
Zhao Li, Shuyong Li
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Global solutions of abstract quasilinear parabolic equations
Journal of Differential Equations, 1985 Abstract Local and global existence and uniqueness for strict solutions of abstract quasilinear parabolic equations are studied. Applications to quasilinear parabolic partial differential equations are also given.
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Journal of Inequalities and Applications, 1998 A semilinear abstract differential-delay equation with a nonautonomous linear part is considered. Solution estimates are derived. They generalize Wazewski and Lozinskii inequalities. Conditions for global stability are established.
Gil' MI
doaj
International Journal of Mathematics and Mathematical Sciences, 2002 The aim of this paper is to prove the existence, uniqueness, and continuous dependence upon the data of a generalized solution for certain singular parabolic equations with initial and nonlocal boundary conditions.
Abdelfatah Bouziani
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