Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations
Discrete and Continuous Dynamical Systems - B, 2019 The paper gives a comprehensive study of Inertial Manifolds for hyperbolic relaxations of an abstract semilinear parabolic equation in a Hilbert space. A new scheme of constructing Inertial Manifolds for such type of problems is suggested and optimal spectral gap conditions which guarantee their existence are established.
Chepyzhov, Vladimir V. +3 more
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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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On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator
Journal of Inequalities and Applications, 2006 We consider the basin of the zero-solution to a semilinear parabolic equation on with the Ornstein-Uhlenbeck operator. Our aim is to show that the Ornstein-Uhlenbeck operator contributes to enlargement of the basin by using the logarithmic Sobolev ...
Fujita Yasuhiro
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Pullback attractors for non-autonomous parabolic equations involving Grushin operators
Electronic Journal of Differential Equations, 2010 Using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a non-autonomous semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain.
Cung The Anh
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Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]
Automatica (Oxf), 2023 Yao M, Luczak SE, Rosen IG.
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