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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 = {Yinghua and Li and and 18355 and and Yinghua Li and Yang and Cao and and 18357 and and Yang Cao and Yifu and Wang and and 18356 and and Yifu Wang}, 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.

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