Geodesic
Wazewski's Method for Nonlinear Evolution Equations
Matematičeskie zametki, Tome 83 (2008) no. 5, pp. 705-714

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Mots-clés : evolution equation
Keywords: hyperbolic partial differential equation, ordinary differential equation, locally convex space, mapping, fixed point, Hadamard differentiability. 
S. G. Lobanov. Wazewski's Method for Nonlinear Evolution Equations. Matematičeskie zametki, Tome 83 (2008) no. 5, pp. 705-714. http://geodesic.mathdoc.fr/item/MZM_2008_83_5_a6/
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