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It is shown that a classical maximum principles can be extended to continuous functions with piecewise continuous first and second derivatives. A simple application to the numerical solution of an initial value problem for the telegraph equation is presented.
LetF be a (smooth) Γ
-stucture (often called a codimension-q Haefliger structure) on a compact manifoldX
. Cohomological invariants associated to the singularities ofF are defined whose vanishing is shown to be a necessary condition for deformingF to a codimension-q foliation onX
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