the cartan-monge geometric approach to the generalized characteristics method and its application to the heat equation u_{t}-u_{xx}=0
Abstract
The generalized Cartan-Monge type approach to the characteristics method is discussed from the geometric point of view. Its application to the classical one-dimensional linear heat equation \(u_t-u_{xx}=0\) is presented. It is shown that the corresponding exact solution of the Cauchy problem can be represented in a classical functional-analytic Gauss type form.
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218888
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218888
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http://dx.doi.org/10.7494/OpMath.2009.29.1.27
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