一类退化抛物方程解的存在唯一性及爆破速率

doi:10.12386/A2003sxxb0104

鏁板瀛︽姤鈥衡�� 2003, Vol. 46 鈥衡�� Issue (4): 775-784.DOI: 10.12386/A2003sxxb0104

鈥� 璁烘枃鈥� 涓婁竴绡� 涓嬩竴绡�

涓�绫婚��鍖栨姏鐗╂柟绋嬭В鐨勫瓨鍦ㄥ敮涓�鎬у強鐖嗙牬閫熺巼

鍒樺叾鏋�;閭撳崼鍏�;璋㈡槬绾�

涓滃崡澶у鏁板绯�,鍗椾含澶у鏁板绯�,鍗椾含澶у鏁板绯� 鍗椾含 210096 ,鍗椾含 210093 ,鍗椾含 210093

鏀剁鏃ユ湡:1900-01-01 淇洖鏃ユ湡:1900-01-01 鍑虹増鏃ユ湡:2003-04-15 鍙戝竷鏃ユ湡:2003-04-15

Existence and Uniqueness and Blow up Rate of Solutions for Degenerate Parabolic Equations

Qi Lin LIU(1),Wei Bing DENG(2)

Qi Lin LIU (Department of Mathematics, Southeast University, Nanjing 210096, P. R. China) Wei Bing DENG Chun Hong XIE (Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China)

Received:1900-01-01 Revised:1900-01-01 Online:2003-04-15 Published:2003-04-15

鎽樿/Abstract

鎽樿锛� 鏈枃杩愮敤姝ｅ垯鍖栨柟娉曡瘉鏄庝簡涓�绫婚��鍖栨姏鐗╂柟绋嬭В鐨勫瓨鍦ㄥ敮涓�鎬�,璁ㄨ浜嗚В鐨勫叏灞�瀛樺湪鎬т笌鐖嗙牬,骞跺湪涓�瀹氱殑鍒濆�兼潯浠朵笅寰楀埌浜嗚В鐨勭垎鐮撮�熺巼.

鍏抽敭璇�: 閫�鍖栨姏鐗╂柟绋�, 鐖嗙牬, 鐖嗙牬閫熺巼

Abstract: In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.

涓浘鍒嗙被鍙�:

鍒樺叾鏋�;閭撳崼鍏�;璋㈡槬绾�. 涓�绫婚��鍖栨姏鐗╂柟绋嬭В鐨勫瓨鍦ㄥ敮涓�鎬у強鐖嗙牬閫熺巼[J]. 鏁板瀛︽姤, 2003, 46(4): 775-784.

Qi Lin LIU(1),Wei Bing DENG(2). Existence and Uniqueness and Blow up Rate of Solutions for Degenerate Parabolic Equations[J]. Acta Mathematica Sinica, Chinese Series, 2003, 46(4): 775-784.

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閾炬帴鏈枃: https://actamath.cjoe.ac.cn/Jwk_sxxb_cn/CN/10.12386/A2003sxxb0104

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涓�绫婚��鍖栨姏鐗╂柟绋嬭В鐨勫瓨鍦ㄥ敮涓�鎬у強鐖嗙牬閫熺巼

Existence and Uniqueness and Blow up Rate of Solutions for Degenerate Parabolic Equations

鍙鍖�

琚紩娆℃暟

鎽樿/Abstract

寮曠敤鏈枃

浣跨敤鏈枃

鍙傝�冩枃鐚�

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