alexa Nonlinear Evolution Equations

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Nonlinear Evolution Equations

A great number of processes of the applied sciences can be modeled by means of evolution equations or systems. Nonlinear partial differential equations and systems exhibit a number of properties which are absent from the linear theories; these nonlinear properties are often related to important features of the real world phenomena which the mathematical model is supposed to describe; at the same time these new properties are closely connected with essential new difficulties of the mathematical treatment. The study of nonlinear processes has been a continuous source of new problems and it has motivated the introduction of new methods in the areas of mathematical analysis, partial differential equations and other disciplines, becoming a most active area of mathematical research.

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