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Volume 7, Issue 1
Initial Value Problem for a Nonlinear Evolution System with Singular Integral Differential Terms

Zhang Linghai

J. Part. Diff. Eq.,7(1994),pp.64-76

Published online: 1994-07

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  • Abstract
The initial value problem for a nonlinear evolution system with singular integral differential terms is studied. Dy means of a priori estimates of the solutions and Lcray-Schauder's fixed point theorem, we demonstrate the existence and uniqueness theorems of the generalized and classical global solutions to the problem.
  • Keywords

Initial value problem integral estimate nonlinear evolution system singular integral differential term

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@Article{JPDE-7-64, author = {Zhang Linghai}, title = {Initial Value Problem for a Nonlinear Evolution System with Singular Integral Differential Terms}, journal = {Journal of Partial Differential Equations}, year = {1994}, volume = {7}, number = {1}, pages = {64--76}, abstract = { The initial value problem for a nonlinear evolution system with singular integral differential terms is studied. Dy means of a priori estimates of the solutions and Lcray-Schauder's fixed point theorem, we demonstrate the existence and uniqueness theorems of the generalized and classical global solutions to the problem.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5673.html} }
TY - JOUR T1 - Initial Value Problem for a Nonlinear Evolution System with Singular Integral Differential Terms AU - Zhang Linghai JO - Journal of Partial Differential Equations VL - 1 SP - 64 EP - 76 PY - 1994 DA - 1994/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5673.html KW - Initial value problem KW - integral estimate KW - nonlinear evolution system KW - singular integral differential term AB - The initial value problem for a nonlinear evolution system with singular integral differential terms is studied. Dy means of a priori estimates of the solutions and Lcray-Schauder's fixed point theorem, we demonstrate the existence and uniqueness theorems of the generalized and classical global solutions to the problem.
Zhang Linghai. (1970). Initial Value Problem for a Nonlinear Evolution System with Singular Integral Differential Terms. Journal of Partial Differential Equations. 7 (1). 64-76. doi:
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