For infinite-dimensional generalizations of the Keyfitz-Kranzer system of conservation laws in which the unknown vector ranges in an arbitrary Banach space, we single out the class of strong generalized entropy solutions of the Cauchy problem. Existence and uniqueness theorems are proved in this class.
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Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Shandong, Peoples R ChinaLudong Univ, Sch Math & Stat Sci, Yantai 264025, Shandong, Peoples R China
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Yadavindra Department of Sciences, Punjabi University Guru Kashi Campus, Talwandi Sabo, PunjabYadavindra Department of Sciences, Punjabi University Guru Kashi Campus, Talwandi Sabo, Punjab
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Univ Fed Rio de Janeiro, Inst Matemat, Cidade Univ, BR-21945970 Rio De Janeiro, BrazilUniv Pedag & Tecnol Colombia, Sch Math & Stat, Tunja 150003, Colombia
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Wuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Peoples R China
Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R ChinaWuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Peoples R China
He, Fen
Chen, Tingting
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China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R ChinaWuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Peoples R China
Chen, Tingting
Zhang, Qingling
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Jianghan Univ, Sch Artificial Intelligence, Wuhan 430056, Peoples R ChinaWuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Peoples R China
Zhang, Qingling
Wang, Zhen
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Wuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Peoples R China
Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R ChinaWuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Peoples R China