New method of solving the system of differential partial equations of any number of equations, of any number of functions and of any order
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Non linear evolution equations Cauchy problem and scattering theory
J. Ginibre, G. Velo (1983/1984)
Séminaire Équations aux dérivées partielles (Polytechnique)
Nonexistence of minimal blow-up solutions of equations in
Franck Merle (1996)
Annales de l'I.H.P. Physique théorique
Nonexistence of solutions to systems of higher-order semilinear inequalities in cone-like domains.
El Hamidi, Abdallah, Laptev, Gennady G. (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Nonlinear evolution inclusions arising from phase change models
Pierluigi Colli, Pavel Krejčí, Elisabetta Rocca, Jürgen Sprekels (2007)
Czechoslovak Mathematical Journal
The paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.
Nonlinear evolution PDEs in : existence and uniqueness of solutions, asymptotic and Borel summability properties
O. Costin, S. Tanveer (2007)
Annales de l'I.H.P. Analyse non linéaire
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