带有局部和非局部项的退化抛物型不等式解的不存在性
摘要
在这篇文章里，我们用试验函数法证明了带有局部和非局部非线形项的退化抛物型不等式在全空间R^N×R+上解的不存在性．
出处
《南京大学学报（数学半年刊）》
CAS
2004年第1期12-20,共9页
Journal of Nanjing University(Mathematical Biquarterly)
参考文献9
-
1Anderson J R and Deng K. Global Existence for Degenerate Parabolic Equations with a Non-Local Forcing. Math. Methods Appl. Sci. , 1997,20: 1069-1087.
-
2Bebernes J and Bressan A. Thermal Behaviour for a Confined Reactive Gas. J. of Differential E quations, 1982,44: 118-133.
-
3Deng W B, Duan Z W and Xie C H. The Blow-up Rate for a Degenerate Parabolic Equation with Non-Local Source. J. Math. Anal. Appl. ,2001, 264(2): 577- 597.
-
4Further J and Grinfeld M. Local vs. Nonlocal Interactions in Population Dynamics. J. Math. Biology, 1989,27:65-80.
-
5Mitidieri E and Pohozaev S I. Nonexistence of Positive Solution for Quasilinear Elliptic Prob lems on RN. Proc. Steklov Inst. Math. ,1999, 227.
-
6Pao C V. Blowing-up of Solution for a Nonlocal Reactive-Diffusion Problem in Combustion Theory. J. Math. Anal. Appl., 1992, 166(2): 591-600.
-
7Wang M X and Wang Y M. Properties of Positive Solutions for Non-Local Reaction-Diffusion Problems. Math. Methods Appl. Sci. , 1996,19: 1141-1156.
-
8Mochizuki K and Suzuki R. Critical Exponent and Critical Blow up for Quasilinear Parabolic E quations. Israel J. Math., 1997,98: 141-156.
-
9Galaktionov V A and Levine H A. A General Approach to Critical Fujita Exponents in Nonlin ear Parabolic Problems. Nonlinear Analysis, 1998, 34:1005- 1027.
-
1黄金城,陈才生.带有非局部源项的发展方程全局解的不存在性[J].南京大学学报（数学半年刊）,2004,21(2):213-218. 被引量：1
-
2史金鑫,沈娟娟.一类含有位势的快扩散方程组的Fujita指标[J].扬州大学学报（自然科学版）,2014,17(2):20-24.
-
3FUZun-Tao,CHENZhe,LIUShi-Kuo,LIUShi-Da.New Solutions to Generalized mKdV Equation[J].Communications in Theoretical Physics,2004,41(1):25-28. 被引量：10
-
4修宗湖,曹秀梅,潘朋波,单海燕.一类非线性反应扩散系统弱解的整体不存在性[J].数学的实践与认识,2007,37(5):125-128.
-
5黄金城.一类非局部反应扩散方程的临界爆破指标[J].河海大学常州分校学报,2007,21(2):25-28.
-
6陈才生,王辉.含有非局部项抛物型方程整体解的不存在性(英文)[J].南京大学学报（自然科学版）,2007,43(4):411-418.
