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Volume 27, Issue 1
A Pseudo-Parabolic Type Equation with Nonlinear Sources

Yinghua Li, Yang Cao & Yifu Wang

Commun. Math. Res., 27 (2011), pp. 37-46.

Published online: 2021-05

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  • Abstract

This paper is concerned with the existence and uniqueness of nonnegative classical solutions to the initial-boundary value problems for the pseudo-parabolic equation with strongly nonlinear sources. Furthermore, we discuss the asymptotic behavior of solutions as the viscosity coefficient $k$ tends to zero.

  • Keywords

pseudo-parabolic equation, existence, uniqueness, asymptotic behavior.

  • AMS Subject Headings

35G30, 35B40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-27-37, author = {Li , YinghuaCao , Yang and Wang , Yifu}, title = {A Pseudo-Parabolic Type Equation with Nonlinear Sources}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {1}, pages = {37--46}, abstract = {

This paper is concerned with the existence and uniqueness of nonnegative classical solutions to the initial-boundary value problems for the pseudo-parabolic equation with strongly nonlinear sources. Furthermore, we discuss the asymptotic behavior of solutions as the viscosity coefficient $k$ tends to zero.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19103.html} }
TY - JOUR T1 - A Pseudo-Parabolic Type Equation with Nonlinear Sources AU - Li , Yinghua AU - Cao , Yang AU - Wang , Yifu JO - Communications in Mathematical Research VL - 1 SP - 37 EP - 46 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19103.html KW - pseudo-parabolic equation, existence, uniqueness, asymptotic behavior. AB -

This paper is concerned with the existence and uniqueness of nonnegative classical solutions to the initial-boundary value problems for the pseudo-parabolic equation with strongly nonlinear sources. Furthermore, we discuss the asymptotic behavior of solutions as the viscosity coefficient $k$ tends to zero.

Li , YinghuaCao , Yang and Wang , Yifu. (2021). A Pseudo-Parabolic Type Equation with Nonlinear Sources. Communications in Mathematical Research . 27 (1). 37-46. doi:
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