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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.15 No.1
- 발행연도
- 2011.3
- 수록면
- 43 - 55 (13page)
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초록· 키워드
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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.
목차
ABSTRACT
1. INTRODUCTION
2. BASIC KNOWLEDGE REVIEW
3. LIOUVILLE THEOREM OF SLOW DIFFUSION INEQUALITY
4. LIOUVILLE THEOREM OF COUPLING INEQUALITIES
REFERENCES
참고문헌 (21)
참고문헌 신청
C. BANDLE / 1989 / On the existence and nonexistence of global solutions of reaction-diffusion equations in sectorial domains / Trans. Amer. Math. Soc 316:595~622
H. BERESTYCKI / 1994 / Superlinear indenite elliptic problems and nonlinear Liouville theorems / Topol. Methods Nonlinear Anal 4(1):59~78
I. BIRINDELLI / 2002 / Some Liouville theorems for the p-Laplacian Elec. J / Differential Equations, Conference 08 :35~46
I. BIRINDELLI / 1998 / Liouville theorems for elliptic inequalities and applications / Proc. Royal Soc. Edinburgh 128A:1217~1247
A. BONFIGLIOLI / 2001 / Liouville-type theorems for real sub-Laplacians / Manuscripta Math 105:111~124
H. BERESTYCKI / 1994 / Superlinear indenite elliptic problems and nonlinear Liouville theorems / Topol. Methods Nonlinear Anal 4(1):59~78
I. BIRINDELLI / 2002 / Some Liouville theorems for the p-Laplacian Elec. J / Differential Equations, Conference 08 :35~46
I. BIRINDELLI / 1998 / Liouville theorems for elliptic inequalities and applications / Proc. Royal Soc. Edinburgh 128A:1217~1247
A. BONFIGLIOLI / 2001 / Liouville-type theorems for real sub-Laplacians / Manuscripta Math 105:111~124
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UCI(KEPA) : I410-ECN-0101-2012-410-004224107