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Application of Rothe's Method to a Parabolic Inverse Problem with Nonlocal Boundary Condition.
- Source :
-
Applications of Mathematics . Oct2022, Vol. 67 Issue 5, p573-592. 20p. - Publication Year :
- 2022
-
Abstract
- We consider an inverse problem for the determination of a purely time-dependent source in a semilinear parabolic equation with a nonlocal boundary condition. An approximation scheme for the solution together with the well-posedness of the problem with the initial value u0 ∈ H1(Ω) is presented by means of the Rothe time-discretization method. Further approximation scheme via Rothe's method is constructed for the problem when u0 ∈ L2(Ω) and the integral kernel in the nonlocal boundary condition is symmetric. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INITIAL value problems
*INVERSE problems
*SEMILINEAR elliptic equations
Subjects
Details
- Language :
- English
- ISSN :
- 08627940
- Volume :
- 67
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Applications of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 159197052
- Full Text :
- https://doi.org/10.21136/AM.2021.0029-21