Blow–Up Profiles in One–Dimensional. Semilinear Parabolic Problems
Blow–Up Profiles in One–Dimensional. Semilinear Parabolic Problems
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DOI：
10.1080/03605309208820839
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发表时间：
1992
影响因子：
1.9
通讯作者：
M. A. Herrero;J. Velázquez
中科院分区：
文献类型：
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作者：
M. A. Herrero;J. Velázquez
部分资助项目：CICYT科研基金pb86 - 012 - 00202和EEC对比SCI-0019-c。我们考虑柯西问题，其中p > 1和U$sub: 0 $sub: (x)是连续的，非负的，有界的。让u (x。t)是(1)(2)的解，假设u在t= t时爆炸。然后证明放大集是离散的。此外，如果x=0是爆炸点，则会出现以下两种可能性之一。要么存在c > 0和一个偶数m，使得
Partially supporte by CICYT Research Grant PB86–0112–00202 and EEC Contrast SCI–0019–c. We consider the Cauchy Problem where p > 1 and U$sub:o$esub:(x) is continuous, nonnegative and bounded. Let u(x.t) be the solution of (1). (2). and assume that u blows up at t=T . and We then show that the blow–up set is discrete. Moreover, if x=0 is a blow–up point, one of the two following possibilities occurs. Either There exist c > 0 and an even number m such that