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Initial-oblique derivative problems for nonlinear parabolic complex equations of second order with measurable coefficients
Titel:
Initial-oblique derivative problems for nonlinear parabolic complex equations of second order with measurable coefficients
Auteur:
Wen, Guo-Chun
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 30 (1996) nr. 1 pagina's 35-48
Jaar:
1996-05
Inhoud:
This paper deals with initial-regular oblique derivative boundary value problems for nonlinear parabolic complex equations of second order in a multiply connected domain, where coefficients of equations are measurable. We first verify the uniqueness of solution for above problems, and then give a priori estimates of solutions for the problems. Finally, by using the above estimates and the method of parameter extension, the existence of solutions of initial-boundary value problems is proved. The results in this paper are the development of corresponding theorems in [1, 4, 5], here the condition (1.4) is weaker than the corresponding condition in [1, 5], i.e. the constant 4/3 in [1, 5] is replaced by 3/2 in (1.4).
Uitgever:
Taylor & Francis
Bronbestand:
Elektronische Wetenschappelijke Tijdschriften
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