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Final Value Problems for Parabolic Differential Equations and Their Well-Posedness [PDF]
Axioms, 2018 This article concerns the basic understanding of parabolic final value problems, and a large class of such problems is proved to be well posed. The clarification is obtained via explicit Hilbert spaces that characterise the possible data, giving ...
Ann-Eva Christensen, Jon Johnsen
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A Class of Well-Posed Parabolic Final Value Problems [PDF]
, 2020 This paper focuses on parabolic final value problems, and well-posedness is proved for a large class of these. The clarification is obtained from Hilbert spaces that characterise data that give existence, uniqueness and stability of the solutions.
A Pazy +17 more
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On parabolic final value problems and well-posedness [PDF]
Comptes Rendus. Mathématique, 2018 We prove that a large class of parabolic final value problems is well posed. This results via explicit Hilbert spaces that characterise the data yielding existence, uniqueness and stability of solutions. This data space is the graph normed domain of an unbounded operator, which represents a new compatibility condition pertinent for final value problems.
Christensen, Ann-Eva, Johnsen, Jon
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Boundary control problem for a hyperbolic equation loaded along one of its characteristics [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper investigates the unique solvability of the boundary control problem for a one-dimensional wave equation loaded along one of its characteristic curves in terms of a regular solution. The solution method is based on an analogue of the d’
A.Kh. Attaev
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A modified quasi-boundary value method for a class of abstract parabolic ill-posed problems
Boundary Value Problems, 2006 We study a final value problem for first-order abstract differential equation with positive self-adjoint unbounded operator coefficient. This problem is ill-posed.
S. Djezzar, M. Denche
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Mathematics, 2023 The article considers a non-stationary three-dimensional spatial mathematical model of biological kinetics and geochemical processes with nonlinear coefficients and source functions.
Alexander Sukhinov +3 more
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Mathematics, 2022 The article considers a three-dimensional mathematical model of population dynamics based on a system of non-stationary parabolic advection-diffusion-reaction equations with lower derivatives describing the advective motion of the aquatic environment and
Alexander Sukhinov +3 more
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Ilkom Jurnal Ilmiah, 2020 Problems the Topic of the final project is a form of scientific writing that contains the results of observations from a study of the problems that occur with the use of methods related to the particular field of science.
Sumarni Sumarni, Suhardi Rustam
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Quality Aspects in the Compounding of Plastic Recyclate
Recycling, 2023 Compounding is the final processing step for quality adjustment and control before recycled thermoplastic polymer material can be introduced into production processes.
Maximilian Auer +6 more
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Final Value Problem for Parabolic Equation with Fractional Laplacian and Kirchhoff’s Term
Journal of Function Spaces, 2021 In this paper, we study a diffusion equation of the Kirchhoff type with a conformable fractional derivative. The global existence and uniqueness of mild solutions are established. Some regularity results for the mild solution are also derived. The main tools for analysis in this paper are the Banach fixed point theory and Sobolev embeddings.
Nguyen Hoang Luc +3 more
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