Borel summability of the heat equation with variable coefficients
نویسندگان
چکیده
منابع مشابه
On the Borel Summability of Divergent Solutions of the Heat Equation
We consider the following \characteristic" Cauchy problem for the complex heat equation (0.1) @ @ u(; z) = @ 2 @z 2 u(; z); u(0; z) = '(z) where = t + ii and z = x + iy are complex variables and '(z) is assumed to be analytic in a domain D, which we assume to contain a neighborhood of the origin without loss of generality. As easily seen, this Cauchy problem has the unique formal solution (0.2)...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2012
ISSN: 0022-0396
DOI: 10.1016/j.jde.2011.11.026