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SOLVING A NONLINEAR PSEUDO-DIFFERENTIAL EQUATION OF BURGERS TYPE.
- Source :
-
Stochastics & Dynamics . Dec2008, Vol. 8 Issue 4, p613-624. 12p. - Publication Year :
- 2008
-
Abstract
- In this paper, we study the initial value problem for a class of nonlinear equations of Burgers type in the following form: \[ \frac{\partial}{\partial t}u + \nu q(x,D)u + (b \cdot \nabla)f(u) = 0 \] for u:(t,x) ∈ (0,∞) × ℝn ↦ ℝ, where q(x,D) is a pseudo-differential operator with negative definite symbol. We solve the initial value problem for the equation on ℝn by utilising a fix point argument based upon a combination of semigroup approach and Hoh's symbolic calculus. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194937
- Volume :
- 8
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Stochastics & Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 35167992
- Full Text :
- https://doi.org/10.1142/S0219493708002482