Behavior of Solutions to a Fourth-Order Nonlinear Parabolic Equation with Logarithmic Nonlinearity
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization
Link
https://link.springer.com/content/pdf/10.1007/s00245-019-09642-6.pdf
Reference27 articles.
1. Ball, J.M.: Remarks on blow-up and nonexistence theorems for nonlinear evolution equations. Quart. J. Math. Oxford Ser. 28(112), 473–486 (1977)
2. Chen, H., Luo, P., Liu, G.W.: Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity. J. Math. Anal. Appl. 422(1), 84–98 (2015)
3. Escudero, C.: Geometric principles of surface growth. Phys. Rev. Lett. 101, 196102 (2008)
4. Escudero, C., Gazzola, F., Peral, I.: Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian. J. Math. Pures Appl. 103(4), 924–957 (2015)
5. Escudero, C., Gazzola, F., Hakl, R., Peral, I., Torres, P.: Existence results for a fourth order partial differential equation arising in condensed matter physics. Math. Bohem. 140(4), 385–393 (2015)
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