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Volume 7, Issue 2
Uniqueness of the Solutions of ut=Δum and ut=Δum-up with Initial Datum a Measure: the Fast Diffusion Case

Zhao Junning, Yuan Hongjun

J. Part. Diff. Eq., 7 (1994), pp. 143-159.

Published online: 1994-07

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  • Abstract
In this paper, we study the Cauchy problems u_t = Δu^m \quad u(x, 0) = μ and u_t = Δu^m - u^p \quad u(x, 0) = μ where p > 0, m > (1 - \frac{α}{n})^+ and μ is a finite Radon measure. We prove the uniqueness of solution and the existence of solution.
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@Article{JPDE-7-143, author = {}, title = {Uniqueness of the Solutions of ut=Δum and ut=Δum-up with Initial Datum a Measure: the Fast Diffusion Case}, journal = {Journal of Partial Differential Equations}, year = {1994}, volume = {7}, number = {2}, pages = {143--159}, abstract = { In this paper, we study the Cauchy problems u_t = Δu^m \quad u(x, 0) = μ and u_t = Δu^m - u^p \quad u(x, 0) = μ where p > 0, m > (1 - \frac{α}{n})^+ and μ is a finite Radon measure. We prove the uniqueness of solution and the existence of solution.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5678.html} }
TY - JOUR T1 - Uniqueness of the Solutions of ut=Δum and ut=Δum-up with Initial Datum a Measure: the Fast Diffusion Case JO - Journal of Partial Differential Equations VL - 2 SP - 143 EP - 159 PY - 1994 DA - 1994/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5678.html KW - Porous medium equation KW - Cauchy problem KW - initial datum a measure KW - uniqueness AB - In this paper, we study the Cauchy problems u_t = Δu^m \quad u(x, 0) = μ and u_t = Δu^m - u^p \quad u(x, 0) = μ where p > 0, m > (1 - \frac{α}{n})^+ and μ is a finite Radon measure. We prove the uniqueness of solution and the existence of solution.
Zhao Junning, Yuan Hongjun. (2019). Uniqueness of the Solutions of ut=Δum and ut=Δum-up with Initial Datum a Measure: the Fast Diffusion Case. Journal of Partial Differential Equations. 7 (2). 143-159. doi:
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