Neumann Boundary Problem of Second Order Parabolic Quasi-Linear System with Variable Coefficient on a Vector Bundle

Zonglin Jia

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arXiv · 2212.01499

Neumann Boundary Problem of Second Order Parabolic Quasi-Linear System with Variable Coefficient on a Vector Bundle

Zonglin Jia

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Abstract

Classical results of second order parabolic quasi-linear equations always require that the nonlinear terms are controlled by a power of the unknown functions and their first derivatives. We improve the previous results. More precisely, in the present article the upper bound of nonlinear term can be extended to a power series.

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Zonglin Jia. 2022-12-03. Neumann Boundary Problem of Second Order Parabolic Quasi-Linear System with Variable Coefficient on a Vector Bundle. https://arxiv.org/abs/2212.01499

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