On a final value problem for a nonhomogeneous fractional pseudo-parabolic equation
Alexandria Engineering Journal, 2020 In this paper, we are interested in finding the function u(t,x),(t,x)∈[0,T)×Ω from the final data u(T,x)=ϕ(x), satisfies a nonhomogeneous fractional pseudo-parabolic equation. The problem is stable for the cases σν, the problem is ill-posed (in the sense
Nguyen Hoang Luc +3 more
doaj +5 more sources
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
doaj +7 more sources
A Final Value Problem with a Non-local and a Source Term: Regularization by Truncation [PDF]
Journal of Optimization Theory and Applications, 2023 AbstractThis paper is concerned with recovering the solution of a final value problem associated with a parabolic equation involving a non linear source and a non-local term, which to the best of our knowledge has not been studied earlier. It is shown that the considered problem is ill-posed, and thus, some regularization method has to be employed in ...
Subhankar Mondal
openaire +4 more sources
The Definition and Numerical Method of Final Value Problem and Arbitrary Value Problem [PDF]
Computer Systems Science and Engineering, 2018 Scheduled for publication in the September 2018 edition of CSSE(Computer Systems Science and Engineering) journal, Volume 33 Number ...
Shixiong Wang +3 more
openaire +3 more sources
On a final value problem for a nonlinear fractional pseudo-parabolic equation
Electronic Research Archive, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Au, Vo Van +3 more
openaire +3 more sources
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.
Nguyen Hoang Luc +3 more
doaj +3 more sources
The final value problem for Sobolev equations [PDF]
Proceedings of the American Mathematical Society, 1976 Let A A and B
J. Lagnese
openaire +2 more sources
On a final value problem for a biparabolic equation with statistical discrete data
Applicable Analysis, 2020 This article is devoted to the study of final value problems for biparabolic equation with discrete data in two cases as the linear source and the nonlinear source, respectively. In each of the cases, we show the instability of the solutions and then establish approximate solutions by applying some regularization methods.
Nguyen Huy Tuan +3 more
openaire +2 more sources
On a final value problem for a class of nonlinear hyperbolic equations with damping term
Evolution Equations and Control Theory, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Can, Nguyen Huu +3 more
openaire +4 more sources
A Class of Well-Posed Parabolic Final Value Problems [PDF]
Applied and Numerical Harmonic Analysis, 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.
J. Johnsen
openaire +4 more sources