Regularity bounds for a Gevrey criterion in a kernel-based regularization of the Cauchy problem of elliptic equations

DOI10.1016/J.AML.2017.02.009zbMath1375.35064arXiv1710.09332OpenAlexW2962888090MaRDI QIDQ2407740

Tran The Hung, Vo Anh Khoa

Publication date: 6 October 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.09332

zbMATH Keywords

regularizationkernel-based regularizationpower-law nonlinearities

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Ill-posed problems for PDEs (35R25)

Related Items (2)

Generalized Lavrentiev-type regularization method for the Cauchy problem of a semi-linear elliptic equation ⋮ \(p\)-adic analogue of the wave equation

Cites Work

• A note on a Cauchy problem for the Laplace equation: Regularization and error estimates
• The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom
• A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source
• The Cauchy problem of coupled elliptic sine-Gordon equations with noise: analysis of a general kernel-based regularization and reliable tools of computing
• On an inverse boundary value problem of a nonlinear elliptic equation in three dimensions
• Two regularization methods for a Cauchy problem for the Laplace equation
• Approximation of mild solutions of the linear and nonlinear elliptic equations
• A non-local boundary value problem method for the Cauchy problem for elliptic equations

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