A blow-up result for nonlinear generalized heat equation
نویسندگان
چکیده
Available online xxxx Keywords: Nonlinear heat equation Blow up Sobolev spaces with variable exponents a b s t r a c t In this paper we consider a nonlinear heat equation with nonlinearities of variable-exponent type. We show that any solution with nontrivial initial datum blows up in finite time. We also give a two-dimension numerical example to illustrate our result.
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 68 شماره
صفحات -
تاریخ انتشار 2014