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Volume 18, Issue 4
An Initial-boundary-value Problem for the Modified Korteweg-de Vries Equation in a Quarter Plane

Caixia Shen & Boling Guo

J. Part. Diff. Eq., 18 (2005), pp. 311-321.

Published online: 2005-11

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  • Abstract

In this paper, we obtain some linear estimates, trilinear estimates. Through these estimates, we prove the local wellposeness of modified Korteweg-de Vries equation in a quarter plane.

  • Keywords

the modified Korteweg-de Vries equation initial-boundary-value problem well-posedness

  • AMS Subject Headings

35L70 35B10 37L10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-18-311, author = {Caixia Shen and Boling Guo }, title = {An Initial-boundary-value Problem for the Modified Korteweg-de Vries Equation in a Quarter Plane}, journal = {Journal of Partial Differential Equations}, year = {2005}, volume = {18}, number = {4}, pages = {311--321}, abstract = {

In this paper, we obtain some linear estimates, trilinear estimates. Through these estimates, we prove the local wellposeness of modified Korteweg-de Vries equation in a quarter plane.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5366.html} }
TY - JOUR T1 - An Initial-boundary-value Problem for the Modified Korteweg-de Vries Equation in a Quarter Plane AU - Caixia Shen & Boling Guo JO - Journal of Partial Differential Equations VL - 4 SP - 311 EP - 321 PY - 2005 DA - 2005/11 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5366.html KW - the modified Korteweg-de Vries equation KW - initial-boundary-value problem KW - well-posedness AB -

In this paper, we obtain some linear estimates, trilinear estimates. Through these estimates, we prove the local wellposeness of modified Korteweg-de Vries equation in a quarter plane.

Caixia Shen and Boling Guo . (2005). An Initial-boundary-value Problem for the Modified Korteweg-de Vries Equation in a Quarter Plane. Journal of Partial Differential Equations. 18 (4). 311-321. doi:
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