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.
机构:
Department of Mathematics and Research Institute of Mathematics Seoul National UniversityDepartment of Mathematics and Research Institute of Mathematics Seoul National University
机构:
Univ Washington, Dept Math, Seattle, WA 98195 USA
Beijing Inst Technol, Beijing 100081, Peoples R ChinaUniv Washington, Dept Math, Seattle, WA 98195 USA
Chen, Zhen-Qing
Kim, Panki
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机构:
Seoul Natl Univ, Dept Math, Seoul 151742, South Korea
Seoul Natl Univ, Res Inst Math, Seoul 151742, South KoreaUniv Washington, Dept Math, Seattle, WA 98195 USA