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Matematicheskie Zametki, 2008, Volume 83, Issue 5, Pages 705–714
DOI: https://doi.org/10.4213/mzm4717
(Mi mzm4717)
 

Wazewski's Method for Nonlinear Evolution Equations

S. G. Lobanov

State University – Higher School of Economics
References:
Abstract: We justify a method for reducing a wide class of nonlinear equations (including several partial differential equations) to ordinary differential equations in locally convex spaces. The possibilities of this method are demonstrated by an example of a class of nonlinear hyperbolic partial differential equations.
Keywords: evolution equation, hyperbolic partial differential equation, ordinary differential equation, locally convex space, mapping, fixed point, Hadamard differentiability.
Received: 20.06.2006
English version:
Mathematical Notes, 2008, Volume 83, Issue 5, Pages 643–651
DOI: https://doi.org/10.1134/S0001434608050076
Bibliographic databases:
UDC: 517.911:517.956.3
Language: Russian
Citation: S. G. Lobanov, “Wazewski's Method for Nonlinear Evolution Equations”, Mat. Zametki, 83:5 (2008), 705–714; Math. Notes, 83:5 (2008), 643–651
Citation in format AMSBIB
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