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See detailInitial-irregular oblique derivative problems for nonlinear parabolic complex equations of second order with measurable coefficients
Wen, Guochun; Zou, Benteng UL

in Nonlinear Analysis: Theory, Methods & Applications (2000)

In this paper, initial-irregular oblique derivative boundary value problems for nonlinear and non-divergence parabolic complex equations of second order in multiply connected domains are discussed, where ... [more ▼]

In this paper, initial-irregular oblique derivative boundary value problems for nonlinear and non-divergence parabolic complex equations of second order in multiply connected domains are discussed, where coefficients of equations are measurable. Firstly, the uniqueness of solutions for the above problems is verified, and then a priori estimates of solutions for the problems are given. Finally, by using the above estimates and the Leray-Schauder theorem, the existence of solutions of the initial-boundary value problems is proved. [less ▲]

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