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edited Apr 20, 2013 at 10:18

user9072

ap.analysis-of-pdes analytic analytic-functions

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asked Aug 14, 2012 at 8:05

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Analyticity of the solutions of PDE

Let's consider a (partial) differential equation with analytic coefficients. The initial conditions may be non-analytic*.

Is it possible a solution $f$, which is non-analytic at any point of the domain?

*Even if the initial conditions are analytic, it is possible that the solution is not [1].

ap.analysis-of-pdes analytic