full
search.png

Search

close.png

Cancel

arrow
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

Preview Purchase PDF 1585 29898

Cited by

google scholar semantic scholar
Export citation
  • 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.
  • Keywords

Porous medium equation Cauchy problem initial datum a measure uniqueness

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JPDE-7-143, author = {Zhao Junning, Yuan Hongjun}, 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 AU - Zhao Junning, Yuan Hongjun 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. (1994). 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:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard