A Stronger Reflection Principle for Temperature Functions

Soon‐Yeong Chung · Journal of the London Mathematical Society · 2000

A reflection principle is given for temperature functions on a rectangle in the plane with much weaker conditions than the classical continuity to zero at the boundary, which improves a continuous version of Widder. As an application of this result a uniqueness theorem is given for solutions of the Cauchy problem of the heat equation on a semi-infinite rod.

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