Differential and Integral Equations
- Differential Integral Equations
- Volume 13, Number 4-6 (2000), 423-440.
Low regularity solutions for a generalized Zakharov system
Using the method of Bourgain (actually we use techniques developed in the paper of Ginibre, Tsutsumi, Velo (cf. )) we prove well-posedness of a generalized Zakharov system, describing the spontaneous generation of magnetic field in a cold plasma, in the framework of classical Sobolev spaces. Using the conservation laws of the system we extend these solutions globally in the energy space.
Differential Integral Equations Volume 13, Number 4-6 (2000), 423-440.
First available in Project Euclid: 21 December 2012
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Tzvetkov, Nickolay. Low regularity solutions for a generalized Zakharov system. Differential Integral Equations 13 (2000), no. 4-6, 423--440. https://projecteuclid.org/euclid.die/1356061233.