Results 81 to 90 of about 242 (185)
SOME MIXED PROBLEMS FOR SEMILINEAR PARABOLIC TYPE EQUATION
Journal of Applied Analysis & Computation, 2014 In this paper, some mixed problem with third type boundary value for a semilinear parabolic equation is investigated. Here the solvability theorems for considered problem and the uniqueness theorem for a model case of the problem are showed.
Duzgun, Fatma Gamze, Soltanov, Kamal
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On the solution stability of parabolic optimal control problems. [PDF]
Comput Optim Appl, 2023 Corella AD, Jork N, Veliov VM.
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Abstract and Applied Analysis, 2012 Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
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Continuity of the quenching time in a semilinear heat equation with Neumann boundary condition
Journal of Numerical Analysis and Approximation Theory, 2010 This paper concerns the study of a semilinear parabolic equation subject to Neumann boundary conditions and positive initial datum. Under some assumptions, we show that the solution of the above problem quenches in a finite time and estimate its ...
Firmin K. N'gohisse, Théodore K. Boni
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Boundedness of Global Solutions for a Heat Equation with Exponential Gradient Source
Abstract and Applied Analysis, 2012 We consider a one-dimensional semilinear parabolic equation with exponential gradient source and provide a complete classification of large time behavior of the classical solutions: either the space derivative of the solution blows up in finite time with
Zhengce Zhang, Yanyan Li
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Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on L 2 ( Ω ) Under Control Constraints. [PDF]
Appl Math Optim, 2022 Kunisch K, Priyasad B.
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Existence for semilinear parabolic stochastic equations
Rendiconti Lincei, Matematica e Applicazioni, 2010 The boundary value problem for semilinear parabolic stochastic equations of the form dX –ΔX dt+ β (X) dt\ni \sqrt{Q}dW_t , where W_t is a Wiener process and
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Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact. [PDF]
J Math Biol, 2022 Song P, Xiao Y.
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Null controllability of semilinear degenerate parabolic equations in bounded domains
Electronic Journal of Differential Equations, 2006 In this paper we study controllability properties for semilinear degenerate parabolic equations with nonlinearities involving the first derivative in a bounded domain of R. Due to degeneracy, classical null controllability results do not hold in general.
Piermarco Cannarsa, Genni Fragnelli
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Electronic Journal of Differential Equations, 2011 For a given semilinear parabolic equation with polynomial nonlinearity, many solutions blow up in finite time. For a certain class of these equations, we show that some of the solutions which do not blow up actually tend to equilibria.
Michael Robinson
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