@article{cbf8da514e7349f08d77bae0629eddc7,
title = "Single-point blow-up patterns for a nonlinear parabolic equation",
abstract = "A nonlinear parabolic equation with a superlinear reaction term was studied. The equation was solved by studying the backward self-similar solutions. In this regard, finite number of self-similar single-point blow-up patterns with different oscillations were constructed. The existence of backward self-similar positive solutions in a particular form was also proved.",
keywords = "Backward self-similar solution, Blow-up, Nonlinear parabolic equation, Pattern",
author = "Guo, {Jong Shenq} and Guo, {Yung Jen Lin} and Tsai, {Je Chiang}",
note = "Funding Information: This work was partially supported by National Science Council of the Republic of China under the contracts NSC 89-2115-M-003-014 and NSC 88-2115-M-003-002. ",
year = "2003",
month = jun,
doi = "10.1016/S0362-546X(03)00051-8",
language = "English",
volume = "53",
pages = "1149--1165",
journal = "Nonlinear Analysis, Theory, Methods and Applications",
issn = "0362-546X",
publisher = "Elsevier Limited",
number = "7-8",
}