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Blow-up for nonlinear heat equations with absorptions

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2008

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
This paper deals with the blow-up of positive solution of the nonlinear heat equation ut = r(a(u)ru)− f (u) subject to nonlinear boundary condition @ u @ n = b(u). Under suitable assumptions on nonlinear functions a, f , b and initial data u0(x), we obtain the blow-up rate and the blow-up set of the solutions of the problem by the Nirenberg maximum principle.
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  • English

REFERENCES

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