Volume 17, Issue 4
The Cauchy Problem for Some Dispersive Wave Equations

Wenling Zhang

J. Part. Diff. Eq., 17 (2004), pp. 316-328.

Published online: 2004-11

Preview Purchase PDF 57 2451
Export citation
  • Abstract

In this paper, we consider the Cauchy problem for some dispersive equations. By means of nonlinear estimate in Besov spaces and fixed point theory, we prove the global well-posedness of the above problem. What's more, we improve the scattering result obtained in [1].

  • Keywords

Well-posedness Cauchy problem dispersive equation scattering

  • AMS Subject Headings

35Q30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JPDE-17-316, author = {}, title = {The Cauchy Problem for Some Dispersive Wave Equations}, journal = {Journal of Partial Differential Equations}, year = {2004}, volume = {17}, number = {4}, pages = {316--328}, abstract = {

In this paper, we consider the Cauchy problem for some dispersive equations. By means of nonlinear estimate in Besov spaces and fixed point theory, we prove the global well-posedness of the above problem. What's more, we improve the scattering result obtained in [1].

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5396.html} }
TY - JOUR T1 - The Cauchy Problem for Some Dispersive Wave Equations JO - Journal of Partial Differential Equations VL - 4 SP - 316 EP - 328 PY - 2004 DA - 2004/11 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5396.html KW - Well-posedness KW - Cauchy problem KW - dispersive equation KW - scattering AB -

In this paper, we consider the Cauchy problem for some dispersive equations. By means of nonlinear estimate in Besov spaces and fixed point theory, we prove the global well-posedness of the above problem. What's more, we improve the scattering result obtained in [1].

Wenling Zhang . (2019). The Cauchy Problem for Some Dispersive Wave Equations. Journal of Partial Differential Equations. 17 (4). 316-328. doi:
Copy to clipboard
The citation has been copied to your clipboard