An inverse problem for the fractional porous medium equation

被引：2
|
作者：
Li, Li [1 ]
机构：
[1] Univ Calif Los Angeles, Inst Pure & Appl Math, Los Angeles, CA 90095 USA
来源：
ASYMPTOTIC ANALYSIS | 2023年 / 131卷 / 3-4期
关键词：
Inverse problem; fractional porous medium equation; unique continuation property; CALDERON PROBLEM;
D O I：
10.3233/ASY-221781
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a time-independent variable coefficients fractional porous medium equation and formulate an associated inverse problem. We determine both the conductivity and the absorption coefficient from exterior partial measurements of the Dirichlet-to-Neumann map. Our approach relies on a time-integral transform technique as well as the unique continuation property of the fractional operator.
引用
收藏
页码：583 / 594
页数：12
相关论文
共 50 条
  • [21] The obstacle problem for the porous medium equation
    Boegelein, Verena
    Lukkari, Teemu
    Scheven, Christoph
    MATHEMATISCHE ANNALEN, 2015, 363 (1-2) : 455 - 499
  • [22] AN INVERSE PROBLEM FOR A FRACTIONAL DIFFUSION EQUATION WITH FRACTIONAL POWER TYPE NONLINEARITIES
    Li, Li
    INVERSE PROBLEMS AND IMAGING, 2022, 16 (03) : 613 - 624
  • [23] Inverse Source Problem for Sobolev Equation with Fractional Laplacian
    Phuong, Nguyen Duc
    Nguyen, Van Tien
    Long, Le Dinh
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [24] On an inverse problem for an abstract differential equation of fractional order
    A. V. Glushak
    Mathematical Notes, 2010, 87 : 654 - 662
  • [25] An inverse problem study related to a fractional diffusion equation
    Abdelwahed, Mohamed
    BenSaleh, Mohamed
    Chorfi, Nejmeddine
    Hassine, Maatoug
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 512 (02)
  • [26] Inverse source problem for the abstract fractional differential equation
    Kostin, Andrey B.
    Piskarev, Sergey, I
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2021, 29 (02): : 267 - 281
  • [27] An inverse problem for the fractional Schrodinger equation in a magnetic field
    Covi, Giovanni
    INVERSE PROBLEMS, 2020, 36 (04)
  • [28] Inverse problem for a time-fractional parabolic equation
    Ebru Ozbilge
    Ali Demir
    Journal of Inequalities and Applications, 2015
  • [29] On an inverse problem for an abstract differential equation of fractional order
    Glushak, A. V.
    MATHEMATICAL NOTES, 2010, 87 (5-6) : 654 - 662
  • [30] INVERSE PROBLEM FOR SUBDIFFUSION EQUATION WITH FRACTIONAL CAPUTO DERIVATIVE
    Ashurov, R. R.
    Shakarova, M. D.
    UFA MATHEMATICAL JOURNAL, 2024, 16 (01): : 112 - 126
12345