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Results tagged with parabolic-pde
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user 43026
Questions about partial differential equations of parabolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
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Ill-posedness of a generalized heat equation
Suppose we have the following one-dimensional generalized heat equation:
$$u_t(x,t)=g(x,t)\Delta u(x,t), \quad x\in \mathbb{R},t\in(0,\infty).$$
I need to prove that this equation is ill-posed, for …
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