Parabolic flow on metric measure spaces

被引：0
|
作者：
Przemysław Górka
Anna Kurek
Enrique Lazarte
Humberto Prado
机构：
[1] Warsaw University of Technology,Department of Mathematics and Information Sciences
[2] Universidad Nacional de Salta,Departamento de Matemática
[3] Universidad de Santiago de Chile,Departamento de Matemática y Ciencia de la Computación
来源：
Semigroup Forum | 2014年 / 88卷
关键词：
Metric measure space; Heat kernel; Parabolic equation; Regularity theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present parabolic equations on metric measure spaces. We prove existence and uniqueness of solutions. Under some assumptions the existence of global in time solution is proved. Moreover, regularity and qualitative property of the solutions are shown.
引用
收藏
页码：129 / 144
页数：15
相关论文
共 50 条
  • [31] On the measure contraction property of metric measure spaces
    Ohta, Shin-ichi
    COMMENTARII MATHEMATICI HELVETICI, 2007, 82 (04) : 805 - 828
  • [32] The Neumann and Dirichlet problems for the total variation flow in metric measure spaces
    Gorny, Wojciech
    Mazon, Jose M.
    ADVANCES IN CALCULUS OF VARIATIONS, 2024, 17 (01) : 131 - 164
  • [33] Weighted Sobolev spaces on metric measure spaces
    Ambrosio, Luigi
    Pinamonti, Andrea
    Speight, Gareth
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2019, 746 : 39 - 65
  • [34] Grand Sobolev Spaces on Metric Measure Spaces
    S. V. Pavlov
    Siberian Mathematical Journal, 2022, 63 : 956 - 966
  • [35] Interpolation of Morrey Spaces on Metric Measure Spaces
    Lu, Yufeng
    Yang, Dachun
    Yuan, Wen
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2014, 57 (03): : 598 - 608
  • [36] BMO SPACES FOR NONDOUBLING METRIC MEASURE SPACES
    Kosz, Dariusz
    PUBLICACIONS MATEMATIQUES, 2020, 64 (01) : 103 - 119
  • [37] Morrey Spaces for Nonhomogeneous Metric Measure Spaces
    Cao Yonghui
    Zhou Jiang
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [38] Grand Sobolev Spaces on Metric Measure Spaces
    Pavlov, S., V
    SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (05) : 956 - 966
  • [39] Higher integrability for vector-valued parabolic quasi-minimizers on metric measure spaces
    Habermann, Jens
    ARKIV FOR MATEMATIK, 2016, 54 (01): : 85 - 123
  • [40] Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials
    Taheri, Ali
    Vahidifar, Vahideh
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2023, 232
12345