L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems

Joint Authors

Wei, Na
Zhao, Leina
Wu, Yong Hong
Ge, Xiangyu

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2017-01-22

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

This paper is devoted to the Lp estimates for weak solutions to nonlinear degenerate parabolic systems related to Hörmander’s vector fields.

The reverse Hölder inequalities for degenerate parabolic system under the controllable growth conditions and natural growth conditions are established, respectively, and an important multiplicative inequality is proved; finally, we obtain the Lp estimates for the weak solutions by combining the results of Gianazza and the Caccioppoli inequality.

American Psychological Association (APA)

Wei, Na& Ge, Xiangyu& Wu, Yong Hong& Zhao, Leina. 2017. L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1151245

Modern Language Association (MLA)

Wei, Na…[et al.]. L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1151245

American Medical Association (AMA)

Wei, Na& Ge, Xiangyu& Wu, Yong Hong& Zhao, Leina. L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1151245

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1151245