Generalized Tikhonov-type regularization method for the Cauchy problem of a semi-linear elliptic equation

This paper considers the Cauchy problem of a semi-linear elliptic equation and uses a generalized Tikhonov-type regularization method to overcome its ill-posedness. The existence, uniqueness, and stability for regularized solution are proven. Under an a priori bound assumption for exact solution, we...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Numerical algorithms Jg. 81; H. 3; S. 833 - 851
Hauptverfasser:	Zhang, Hongwu, Zhang, Xiaoju
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York Springer US 01.07.2019 Springer Nature B.V
Schlagworte:	Algebra Algorithms Cauchy problems Computer Science Convergence Eigenvalues Exact solutions Helmholtz equations Integral equations Iterative methods Numeric Computing Numerical Analysis Original Paper Regularization Regularization methods Stability Theory of Computation Semi-linear elliptic equation Ill-posed problem Convergence estimate Generalized Tikhonov-type regularization method Cauchy problem
ISSN:	1017-1398, 1572-9265
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Schreiben Sie den ersten Kommentar!