Local existence for quasilinear parabolic systems under nonlinear boundary conditions. (English) Zbl 0655.35049

Giaquinta, Mariano; Modica, Giuseppe

Ann. Mat. Pura Appl., IV. Ser. 149, 41-59 (1987).

Summary: We prove local solvability of quasilinear parabolic systems by means of classical techniques based upon a priori estimates, without assuming any growth condition.

MSC:

35K60	Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35K50	Systems of parabolic equations, boundary value problems (MSC2000)
35A07	Local existence and uniqueness theorems (PDE) (MSC2000)
35B45	A priori estimates in context of PDEs

Keywords:

nonlinear Neumann boundary condition; local solvability; quasilinear; a priori estimates

References:

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