Luke M. Schubert

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x with holomorphic initial data possessing nonnegative Taylor coefficients around the origin. For the KdV equation with initial value u(0, x) = u0(x), we show that there is no solution holomorphic in any neighbourhood of (t, x) = (0, 0) in C unless u0(x) = a0 + a1x. This also furnishes a nonexistence result for a class of y-independent solutions of the KP(More)
The Novikov-Shubin invariants for a non-compact Riemannian manifold M can be defined in terms of the large time decay of the heat operator of the Laplacian on L p-forms, △p, on M . For the (2n + 1)-dimensional Heisenberg group H2n+1, the Laplacian △p can be decomposed into operators△p,n(k) in unitary representations β̄k which, when restricted to the centre(More)
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