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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 75))

Abstract

A new method called “L -Energy Method” is introduced. Several basic tools for this method are prepared and a couple of typical ways of usage of this method are exemplified for quasilinear parabolic equations.

Partially supported by Waseda University Grant for Special Research Projects #2003B-27 and the Grant-in-Aid for Scientific Research, #16340043 and #18654031, the Ministry of Education, Culture, Sports, Science and Technology, Japan.

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Dedicated to Professors Arrigo Cellina and James A. Yorke on the occasion of their 65th birthday

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© 2007 Birkhäuser Verlag Basel/Switzerland

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Ôtani, M. (2007). L -Energy Method, Basic Tools and Usage. In: Staicu, V. (eds) Differential Equations, Chaos and Variational Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8482-1_27

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