Initial boundary value problem for p-Laplacian type parabolic equation with singular potential and logarithmic nonlinearity-Reference-Cited by-同舟云学术

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Initial boundary value problem for p-Laplacian type parabolic equation with singular potential and logarithmic nonlinearity

Published:2023-02 Issue:1 Volume:13 Page:
ISSN:1664-2368
Container-title:Analysis and Mathematical Physics
language:en
Short-container-title:Anal.Math.Phys.

Author:

Yuan Wen-Shuo,Ge Bin,Cao Qing-Hai

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Postdoctoral research startup foundation of Heilongjiang

Science Research Funds for Overseas Returned Chinese Scholars of Heilongjiang Province

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13324-023-00782-1.pdf

Reference25 articles.

1. Buljan, H., Siber, A., Soljacic, M., Schwartz, T., Segev, M., Christodoulides, D.N.: Incoherent white light solitons in logarithmically saturable noninstantaneous nonlinear media. Phys. Rev. E. 68, 6 (2003)

2. Chen, P.J., Gurtin, M.E.: On a theory of heat conduction involving two temperatures. Z. Angew. Math. Phys. 19, 614–627 (1968)

3. Bialynicki-Burula, I., Mycielski, J.: Nonlinear wave mechanics. Ann. Phys. 100, 62–93 (1976)

4. Han, X.S.: Global existence of weak solutions for a logarithmic wave equation arising from Q-balldynamics. Bull. Korean Math. Soc. 50, 275–283 (2013)

5. Boulaaras, S., Draifia, A., Alnegga, M.: Polynomial decay rate for Kirchhoff type in viscoelasticity with logarithmic nonlinearity and not necessarily decreasing kernel. Symmetry 11, 1–24 (2019)

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1. General decay results for a viscoelastic wave equation with the logarithmic nonlinear source and dynamic Wentzell boundary condition;Nonlinear Analysis: Real World Applications;2024-12

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