This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation The paper proves that every above-mentioned problem has a unique global solution under rather mild con"ning conditions, and arrives at some su$cient con
A Class of Solutions of Non-Linear Evolution Equations with Diffusion
β Scribed by Dr. P. Enders
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 177 KB
- Volume
- 499
- Category
- Article
- ISSN
- 0003-3804
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π SIMILAR VOLUMES
Periodic solutions of arbitrary period to semilinear partial differential equations of Zabusky or Boussinesq type are obtained. More generally, for a linear differential operator A ( y , a ) , the equation A ( y , a)u = ( -l)lYlas,f(y, Pu), y = (t, x) E Rk x G is studied, where homogeneous boundary
## Communicated by V. Lvov Approximate solutions of the non-linear Boltzmann equation, which have the structure of the linear combination of three global Maxwellians with arbitrary hydrodynamical parameters, are considered. Some sufficient conditions which allow the error between the left-and the
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