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Volume 19, Issue 1
Besov Spaces and Self-similar Solutions for Nonlinear Evolution Equations

Changxing Miao & Bo Zhang

J. Part. Diff. Eq., 19 (2006), pp. 26-47.

Published online: 2006-02

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  • Abstract

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.

  • Keywords

Strichartz estimates admissible triplet self-similar solution Besov spaces evolution equations well-posedness

  • AMS Subject Headings

35K15 35K20.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-19-26, author = {Changxing Miao and Bo Zhang }, title = {Besov Spaces and Self-similar Solutions for Nonlinear Evolution Equations}, journal = {Journal of Partial Differential Equations}, year = {2006}, volume = {19}, number = {1}, pages = {26--47}, abstract = {

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.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5319.html} }
TY - JOUR T1 - Besov Spaces and Self-similar Solutions for Nonlinear Evolution Equations AU - Changxing Miao & Bo Zhang JO - Journal of Partial Differential Equations VL - 1 SP - 26 EP - 47 PY - 2006 DA - 2006/02 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5319.html KW - Strichartz estimates KW - admissible triplet KW - self-similar solution KW - Besov spaces KW - evolution equations KW - well-posedness AB -

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.

Changxing Miao and Bo Zhang . (2006). Besov Spaces and Self-similar Solutions for Nonlinear Evolution Equations. Journal of Partial Differential Equations. 19 (1). 26-47. doi:
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