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On reflection principles for parabolic equations in one space variable*
Published online by Cambridge University Press: 20 January 2009
Extract
In this note we shall consider the problem of uniquely continuing solutions of the parabolic equation
across an analytic arc σ: x=s1(t) satisfies the boundary data
We assume that u(x,t) is a classical solution of (1) in the domain D ={(x,t): s1(t)< x < s 2(t), 0 < t < t0}, continuously differentiate in D ∪ σ and define the “reflection” of D across σ by
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 21 , Issue 2 , September 1978 , pp. 143 - 147
- Copyright
- Copyright © Edinburgh Mathematical Society 1978
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