Finite Time Blowup for Parabolic Systems in Two Dimensions

被引:5
作者
Mooney, Connor [1 ]
机构
[1] Swiss Fed Inst Technol, Dept Math, CH-8092 Zurich, Switzerland
基金
美国国家科学基金会;
关键词
CONTINUITY;
D O I
10.1007/s00205-016-1052-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We construct examples of finite time singularity from smooth data for linear uniformly parabolic systems in the plane. We obtain similar examples for quasilinear systems with coefficients that depend only on the solution.
引用
收藏
页码:1039 / 1055
页数:17
相关论文
共 10 条
[1]  
[Anonymous], 2009, Multiple Integrals in the Calculus of Variations
[2]  
[Anonymous], 1968, Boll. Unione Mat. Ital.
[3]  
[Anonymous], 1968, BOLL UMI
[4]   ON THE NONLINEAR PARABOLIC-SYSTEMS IN DIVERGENCE FORM - HOLDER CONTINUITY AND PARTIAL HOLDER CONTINUITY OF THE SOLUTIONS [J].
CAMPANATO, S .
ANNALI DI MATEMATICA PURA ED APPLICATA, 1984, 137 :83-122
[5]  
De Giorgi E., 1957, Mem. Acad. Sci. Torino. Cl. Sci. Fis. Mat. Nat., V3, P25
[6]  
John O, 1998, COMMUN PART DIFF EQ, V23, P1159
[7]   CONTINUITY OF SOLUTIONS OF PARABOLIC AND ELLIPTIC EQUATIONS [J].
NASH, J .
AMERICAN JOURNAL OF MATHEMATICS, 1958, 80 (04) :931-954
[8]  
NECAS J, 1991, Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, Serie 4, V18, P1
[9]  
Stara J., 1986, Comment. Math. Univ. Carolin, V27, P123
[10]  
Stara J, 1995, COMMENT MATH U CAROL, V36, P503