Journal of the Korean Society for Industrial and Applied Mathematics

  • 제15권1호
  • /
  • Pages.43-55
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  • 2011
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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LIOUVILLE THEOREMS OF SLOW DIFFUSION DIFFERENTIAL INEQUALITIES WITH VARIABLE COEFFICIENTS IN CONE

  • Fang, Zhong Bo (SCHOOL OF MATHEMATICAL SCIENCES, OCEAN UNIVERSITY OF CHINA) ;
  • Fu, Chao (SCHOOL OF MATHEMATICAL SCIENCES, OCEAN UNIVERSITY OF CHINA) ;
  • Zhang, Linjie (SCHOOL OF MATHEMATICAL SCIENCES, OCEAN UNIVERSITY OF CHINA)
  • 투고 : 2011.03.16
  • 심사 : 2011.03.18
  • 발행 : 2011.03.25
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초록

We here investigate the Liouville type theorems of slow diffusion differential inequality and its coupled system with variable coefficients in cone. First, we give the definition of global weak solution, and then we establish the universal estimate (does not depend on the initial value) of solution by constructing test function. At last, we obtain the nonexistence of non-negative non-trivial global weak solution within the appropriate critical exponent. The main feature of this method is that we need not use comparison theorem or the maximum principle.

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참고문헌

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