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Other methods

In: Lectures on Nonlinear Evolution Equations

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  • Reinhard Racke

    (University of Konstanz, Department of Mathematics and Statistics)

Abstract

As we have pointed out in the preceding section, the classical method used in the proof of Theorem 1.1, which we shall call energy method in the sequel, does not lead to optimal results in each case neither for wave equations nor for all the systems in Chapter 11 . Special ansätze have turned out to be more efficient for particular systems. Before giving some ideas of such methods we shall first present a method, which historically precedes the energy method concerning general existence results on nonlinear evolution equations; this is the Nash–Moser–Hörmander scheme.

Suggested Citation

  • Reinhard Racke, 2015. "Other methods," Springer Books, in: Lectures on Nonlinear Evolution Equations, edition 2, chapter 9, pages 104-107, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-21873-1_10
    DOI: 10.1007/978-3-319-21873-1_10
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