Analysis and Petrov–Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations

Zheng, Xiangcheng; Ervin, Vincent J.; Wang, Hong

doi:10.1016/j.cam.2022.115033

Journal of Computational and Applied Mathematics

2023

DOI: 10.1016/j.cam.2022.115033

|View full text |Cite

Analysis and Petrov–Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations

Xiangcheng Zheng

Vincent J. Ervin

Hong Wang

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Equivalence of the Weighted Fractional Sobolev Space on a Disk with Characterization by the Decay Rate of Fourier–Jacobi Coefficients and K-Interpolation

Ervin

2024

J Fourier Anal Appl

View full text Add to dashboard Cite

In this paper, motivated by the analysis of the fractional Laplace equation on the unit disk in $$\mathbb {R}^{2}$$ R 2 , we establish a characterisation of the weighted Sobolev space $$H_{\gamma }^{s}(\Omega )$$ H γ s ( Ω ) in terms of the decay rate of Fourier–Jacobi coefficients. This framework is then used to give a precise analysis of the solution to the fractional Laplace equation on the unit disk.

show abstract

Equivalence of the Weighted Fractional Sobolev Space on a Disk with Characterization by the Decay Rate of Fourier–Jacobi Coefficients and K-Interpolation

Ervin

2024

J Fourier Anal Appl

View full text Add to dashboard Cite

show abstract

Integral constraint regularization method for fractional optimal control problem with pointwise state constraint

Wang,

Chen,

Zhou

2024

Chaos, Solitons & Fractals

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Analysis and Petrov–Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations

Cited by 2 publications

References 29 publications

Equivalence of the Weighted Fractional Sobolev Space on a Disk with Characterization by the Decay Rate of Fourier–Jacobi Coefficients and K-Interpolation

Equivalence of the Weighted Fractional Sobolev Space on a Disk with Characterization by the Decay Rate of Fourier–Jacobi Coefficients and K-Interpolation

Integral constraint regularization method for fractional optimal control problem with pointwise state constraint

Contact Info

Product

Resources

About