A modern proof of the Maximum Principle

Andrzej W. Turski

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Displaying similar documents to “A modern proof of the Maximum Principle”

A generalization of the maximum principle to nonlinear parabolic systems

Dmitry Portnyagin (2003)

Annales Polonici Mathematici

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A generalization of the well-known weak maximum principle is established for a class of quasilinear strongly coupled parabolic systems with leading terms of p-Laplacian type.

Uniqueness of positive weak solutions of second order parabolic equations

D. G. Aronson (1965)

Annales Polonici Mathematici

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Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents

Lingeshwaran Shangerganesh, Arumugam Gurusamy, Krishnan Balachandran (2017)

Communications in Mathematics

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In this work, we study the existence and uniqueness of weak solutions of fourth-order degenerate parabolic equation with variable exponent using the difference and variation methods.