On the First Initial-Boundary Value Problem of the Generalized Burgers' Equation | Zendy

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On the First Initial-Boundary Value Problem of the Generalized Burgers' Equation

Author(s) -

Atusi Tani

Publication year - 1974

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195192178

Subject(s) - mathematics , burgers' equation , uniqueness , initial value problem , boundary value problem , cauchy boundary condition , cauchy problem , mathematical analysis , cauchy distribution , mixed boundary condition , partial differential equation

E. Hopf discussed in details on the Cauchy problem of Burgers' equation in his famous paper [5]. Since then, many papers on the equation and its related topics have been published. However, they have not treated the initial-boundary value problem of it. The author previously discussed on the first initial-boundary value problem of this equation in [17]. Recently, N. Itaya has shown the existence and the uniqueness, in a certain sense, of the temporally global solution of the Cauchy problem of the following generalized Burgers' equation:

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