2 papers
solv-int1999
Nonexistence results for the Korteweg-deVries and Kadomtsev-Petviashvili equations
Nalini Joshi, Johannes A. Petersen, Luke M. Schubert
We study characteristic Cauchy problems for the Korteweg-deVries (KdV) equation , and the Kadomtsev-Petviashvili (KP) equation $u_{yy}=\bigl(u_{xxx}+uu_x+u_t\bigr…
math.DG1998
The Laplacian on -forms on the Heisenberg group
Luke M. Schubert
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 square integrable p-f…