Uniqueness in weighted Lebesgue spaces for a class of fractional parabolic and elliptic equations

被引:8
|
作者
Punzo, Fabio [1 ]
Valdinoci, Enrico [1 ,2 ]
机构
[1] Univ Milan, Dipartimento Matemat F Enriques, I-20133 Milan, Italy
[2] Weierstr Inst Angew Anal & Stochast, D-10117 Berlin, Germany
基金
欧洲研究理事会;
关键词
CAUCHY-PROBLEM; INTEGRODIFFERENTIAL OPERATORS; HESSIAN INEQUALITIES; MARTINGALE PROBLEM; INFINITY;
D O I
10.1016/j.jde.2014.09.023
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of fractional parabolic and elliptic equations. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:555 / 587
页数:33
相关论文
共 50 条
  • [1] Uniqueness of solutions to degenerate parabolic and elliptic equations in weighted Lebesgue spaces
    Punzo, Fabio
    [J]. MATHEMATISCHE NACHRICHTEN, 2013, 286 (10) : 1043 - 1054
  • [2] UNIQUENESS FOR FRACTIONAL PARABOLIC AND ELLIPTIC EQUATIONS WITH DRIFT
    Meglioli, Giulia
    Punzo, Fabio
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2023, 22 (06) : 1962 - 1981
  • [3] Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds
    Meglioli, Giulia
    Roncoroni, Alberto
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (10)
  • [4] Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds
    Giulia Meglioli
    Alberto Roncoroni
    [J]. The Journal of Geometric Analysis, 2023, 33
  • [5] Sum of weighted Lebesgue spaces and nonlinear elliptic equations
    Marino Badiale
    Lorenzo Pisani
    Sergio Rolando
    [J]. Nonlinear Differential Equations and Applications NoDEA, 2011, 18 : 369 - 405
  • [6] Sum of weighted Lebesgue spaces and nonlinear elliptic equations
    Badiale, Marino
    Pisani, Lorenzo
    Rolando, Sergio
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (04): : 369 - 405
  • [7] Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations
    Byun, Sun-Sig
    Lee, Mikyoung
    Palagachev, Dian K.
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (05) : 4550 - 4571
  • [8] Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces
    Dong, Hongjie
    Kim, Doyoon
    [J]. ADVANCES IN MATHEMATICS, 2015, 274 : 681 - 735
  • [9] Fractional Integration in Weighted Lebesgue Spaces
    Avetisyan, K.
    [J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2021, 56 (02): : 57 - 67
  • [10] Fractional Integration in Weighted Lebesgue Spaces
    K. Avetisyan
    [J]. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2021, 56 : 57 - 67