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The Cauchy Problem For Linear Partial Differential Equations With Restricted Boundary Conditions
Published online by Cambridge University Press: 20 November 2018
Extract
We shall discuss solutions of linear partial differential equations of the form
1
where Ψ is an ordinary differential operator of order s with respect to t. Our first theorem gives a solution of (1) for the Cauchy data;
2
j = 1,2, ߪ,s − 1,
whenever the function P is annihilated by a finite iteration of the operator Φ.
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- Copyright © Canadian Mathematical Society 1956
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