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BESOV SPACES AND SELF-SIMILAR SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS

机译:非线性演化方程的Besov空间和自相似解

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机译:In this paper, we establish the existence of global self-similar solutions for the heat and convection-diffusion equations. This we do in some homogeneous Besov spaces using the theory of Besov spaces and the Strichartz estimates. Further, the structure of the self-similar solutions has also been established by using an equivalent norm for Besov spaces.

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