Other methods

Reinhard Racke
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Reinhard Racke: University of Konstanz, Department of Mathematics and Statistics

Chapter 9 in Lectures on Nonlinear Evolution Equations, 2015, pp 104-107 from Springer

Abstract: 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.

Keywords: Global Existence; Energy Method; Nonlinear Evolution Equation; Gordon Equation; Nonlinear Wave Equation (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-21873-1_10

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