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An example of non-uniqueness in the theory of quasi-linear elliptic equations of second order

โœ Scribed by Norman G. Meyers


Publisher
Springer
Year
1963
Tongue
English
Weight
112 KB
Volume
14
Category
Article
ISSN
0003-9527

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Differential invariants of the one-dimen
โœ N.H. Ibragimov; C. Sophocleous ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 237 KB

We consider evolution equations of the form u t = f(x, u, u x )u xx + g(x, u, u x ) and u t = u xx + g(x, u, u x ). In the spirit of the recent work of Ibragimov [Ibragimov NH. Laplace type invariants for parabolic equations. Nonlinear Dynam 2002;28:125-33] who adopted the infinitesimal method for c