Open AccessOn Totally Characteristic Type Non-linear Partial Differential Equations in the Complex Domain
Author(s) -
Hua Chen,
Hidetoshi Tahara
Publication year - 1999
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/1195143496
Subject(s) - mathematics , type (biology) , domain (mathematical analysis) , mathematical analysis , first order partial differential equation , partial differential equation , ecology , biology
The paper deals with a singular non-linear partial differential equation tdu/dt = F(t, x, u, du/dx) with two independent variables ( t , x ) e C under the assumption that F(t,x,u,v) is holomorphic and F(0,.\,0,0) =0. Set y(x) = (dF/dv)(Q,x ). The result is extended to higher order equations. §
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom