Blow-up theorems of Fujita type for a semilinear parabolic equation with a gradient term
Advances in Difference Equations, 2018 This paper deals with the existence and non-existence of the global solutions to the Cauchy problem of a semilinear parabolic equation with a gradient term.
Yang Na +3 more
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Minimal periods for semilinear parabolic equations
Archiv der MathematikAbstractWe show that, if $$-A$$ - A generates a bounded holomorphic semigroup in a Banach space X, $$\alpha \in [0,1)$$ α ∈ [ 0 ,
Gerd Herzog, Peer Christian Kunstmann
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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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Semilinear parabolic equations with Preisach hysteresis
Differential and Integral Equations, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Little, T. D., Showalter, R. E.
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Excluding blowup at zero points of the potential by means of Liouville-type theorems
, 2016 We prove a local version of a (global) result of Merle and Zaag about ODE behavior of solutions near blowup points for subcritical nonlinear heat equations.
Guo, Jong-Shenq, Souplet, Philippe
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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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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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The generic gradient-like structure of certain asymptotically autonomous semilinear parabolic equations [PDF]
, 2018 Axel Jänig
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