Affiliation:
1. Department of Mathematics, Swansea University, Singleton Park, Swansea, SA2 8PP, UK
Abstract
In this paper, we study the initial value problem for a class of nonlinear equations of Burgers type in the following form: [Formula: see text] 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.
Publisher
World Scientific Pub Co Pte Lt
Cited by
7 articles.
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