Is there a straightforward proof for the existence of the one-dimensional linear heat equation(adsbygoogle = window.adsbygoogle || []).push({});

f=u_t_-a^2*u_xx_=0.

Is so, how?

Note: _t_ represents the subscript, i.e., the derivative t, and _xx_ represents the subscript xx.

Is the heat equation well posed? Can this proven? How?

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# Heat Equation

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