## IN MEMORY OF NORMAN LEVINSON The LB norm in space-time of a solution of the Klein-Gordon equation in two space-time dimensions is bounded relative to the Lorentz-invariant Hilbert space norm; the L, norms for p > 6 are bounded relative to certain similar larger Hilbert space norms, including th
A geometric solution of the wave equation in space-time of even dimension
β Scribed by Marcel Riesz
- Publisher
- John Wiley and Sons
- Year
- 1960
- Tongue
- English
- Weight
- 1009 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
In this article, we study the Cauchy problem of generalized Boussinesq equations. We prove the local existence in time in Sobolev and weighted Sobolev space through Fourier transforms. Then our main result is to prove that the supremum Ε½ . norm of the solution n, Β¨with sufficiently small and regular
methods that only discretize the boundary. A new numerical method for the rapid solution of Laplace's equa-The FDM (finite difference method) and FEM (finite eletion in exterior domains and in interior domains with complicated ment method) belong to the first category. The second boundaries is pres
## For suitable and F, we prove that all classical solutions of the quasilinear wave equation RR !( ( V )) V "F(), with initial data of compact support, develop singularities in "nite time. The assumptions on and F include in particular the model case O>, for q\*2, and "$1. The starting point of