带非线性边界条件的非线性抛物型方程组

doi:10.12386/A1997sxxb0124

鏁板瀛︽姤鈥衡�� 1997, Vol. 40 鈥衡�� Issue (6): -.DOI: 10.12386/A1997sxxb0124

鈥� 璁烘枃鈥�

甯﹂潪绾挎�ц竟鐣屾潯浠剁殑闈炵嚎鎬ф姏鐗╁瀷鏂圭▼缁�

鐜嬫湳

鍗椾含澶у鏁板绯�,娌冲崡澶у鏁板绯�

鏀剁鏃ユ湡:1995-06-09 淇洖鏃ユ湡:1996-01-18 鍑虹増鏃ユ湡:1997-11-15 鍙戝竷鏃ユ湡:1997-11-15

Nonlinear Parabolic Equations with Nonlinear Boundary Conditions

Shu Wang(1)(2)

顎刉ang Shu顎� (Department of Mathematics, Nanjing University, Nanjing 210093, China;)顎�(Department of Mathematics, Henan University, Kaifeng 475001, China)顎�)

Received:1995-06-09 Revised:1996-01-18 Online:1997-11-15 Published:1997-11-15

鎽樿/Abstract

鎽樿锛� 鏈枃璁ㄨ甯﹂潪绾挎�ц竟鐣屾潯浠剁殑鎶涚墿鍨嬫柟绋嬬粍锝曪綌锛澪旓綍锝嶏紝锝栵綌锛澪旓綎锝嶏紝锝樷垐惟锛岋綌锛烇紣锛岊�旓綍顎旓綆锛濓綎锝愶紝顎旓綎顎旓綆锛濓綍锝戯紝锝樷垐顎斘╋紝锝旓紴锛愶紝锝曪紙锝橈紝锛愶級锛濓綍锛愶紙锝橈級顎の达紴锛愶紝锝栵紙锝橈紝锛愶級锛濓綎锛愶紙锝橈級顎の达紴锛愶紝锝樷垐惟锛堬缉锛夎В鐨勬暣浣撳瓨鍦ㄦ�у拰鍦ㄦ湁闄愭椂鍒荤垎鐮撮棶棰橈紟鍏朵腑锝嶏紝锝愶紝锝戯紴锛愶紝惟顎涳缉锛诧籍鏄湁鐣屽厜婊戝尯鍩燂紝未锛烇紣鍙互鍏呭垎灏忥紟

鍏抽敭璇�: 闈炵嚎鎬ц竟鐣屾潯浠�, 闈炵嚎鎬ф姏鐗╁瀷鏂圭▼缁�, 鏁翠綋瑙�, 鐖嗙牬

Abstract: This paper considers the global existence and blow up problem for the following nonlinear parabolic equations with nonlinear boundary conditions顎嗩�唘顎宼 =螖u顎媘, v顎宼=螖v顎媘, x鈭堫�娢�,顎� t>0,顎冾�攗顎攏=v顎媝, 顎攙顎攏=u顎媞, x鈭堫�旑�娢�,顎� t>0,顎僽(x,0)=u顎�0(x)顎の�>0, v(x,0)=v顎�0(x)顎の�>0, x鈭堫�婎��(顎奍顎�)顎嗩�唚here顎唌,p,q>0顎�,惟顎哛顎哊顎唅s a bounded smooth domain,未>0顎� maybe small.顎�

涓浘鍒嗙被鍙�:

鐜嬫湳. 甯﹂潪绾挎�ц竟鐣屾潯浠剁殑闈炵嚎鎬ф姏鐗╁瀷鏂圭▼缁刐J]. 鏁板瀛︽姤, 1997, 40(6): -.

Shu Wang(1)(2). Nonlinear Parabolic Equations with Nonlinear Boundary Conditions[J]. Acta Mathematica Sinica, Chinese Series, 1997, 40(6): -.

0
/ / 鎺ㄨ崘

瀵煎嚭寮曠敤绠＄悊鍣� EndNote|Ris|BibTeX

閾炬帴鏈枃: https://actamath.cjoe.ac.cn/Jwk_sxxb_cn/CN/10.12386/A1997sxxb0124

https://actamath.cjoe.ac.cn/Jwk_sxxb_cn/CN/Y1997/V40/I6/

[1]	闄堝浗鏃�, 杈捐姵. 涓�绫诲叿鏈夐潪绾挎�ч樆灏肩殑闈炵嚎鎬х數鎶ユ柟绋嬬殑鍒濊竟鍊奸棶棰�[J]. 鏁板瀛︽姤, 2022, 65(6): 1009-1022.
[2]	寮犻, 褰仾鏄�. 鍙Н鐨勪袱鍒嗛噺Camassa-Holm鏂圭▼缁勭殑灏栧嘲瀛ゅ瓙瑙ｅ強鐖嗙牬鐜拌薄[J]. 鏁板瀛︽姤, 2021, 64(6): 895-908.
[3]	閽熸柊. 鍏锋湁闆剁儹浼犲鍜岀湡绌虹殑闈炴鍘嬬娴佷綋鍔涘鏂圭▼鐨�L^∞杩炵画鎬�[J]. 鏁板瀛︽姤, 2021, 64(5): 705-720.
[4]	鍙惰��鍐�, 闄剁ゥ鍏�. 涓�绫婚潪绾挎�ч珮闃禟irchhoff鍨嬫柟绋嬬殑鍒濊竟鍊奸棶棰�[J]. 鏁板瀛︽姤, 2019, 62(6): 923-938.
[5]	鏉滈噾閲�, 鐜嬫槉. 鎺ㄥ箍鐨凣DGH2绯荤粺鐨勮嚜鐩镐技瑙ｅ強鐖嗙牬鐜拌薄[J]. 鏁板瀛︽姤, 2019, 62(1): 137-150.
[6]	澶忔花. 甯﹂�嗗钩鏂瑰娍鐨勯潪绾挎�chrödinger鏂圭▼鐨勬湁闄愭椂闂存�ф��[J]. 鏁板瀛︽姤, 2017, 60(5): 799-814.
[7]	寰愭鼎绔�, 寮犳槑鏈�, 濮滄檽涓�, 鐜嬮洩姊�, 娌堢户绾�. 鍩轰簬浜ゅ弶鍙樺垎鐨勯潪绾挎�lein-Gordon鏂圭▼瑙ｇ殑鏁翠綋瀛樺湪鍜岀垎鐮�[J]. 鏁板瀛︽姤, 2014, 57(3): 427-444.
[8]	鏉ㄥ浗鑻�, 鎴愬啗绁�. 甯︽湁闈炵嚎鎬ц竟鐣屾潯浠剁殑鎷熺嚎鎬ф柟绋嬬粍姝ｈВ鐨勫瓨鍦ㄦ��[J]. 鏁板瀛︽姤, 2014, 57(1): 131-138.
[9]	寮犻, 寮犳睙绾�. 骞夸箟涓ゅ垎閲廋amassa-Holm鏂圭▼鐨勬煰瑗块棶棰�[J]. 鏁板瀛︽姤, 2013, 56(6): 923-934.
[10]	鏉庝腑骞�, 绌嗘槬鏉�. 涓�涓叿鏈夎�﹀悎杈圭晫娴佺殑鐑柟绋嬬粍鐨勭垎鐮翠及璁＄殑娉ㄨВ[J]. 鏁板瀛︽姤, 2013, 56(2): 197-202.
[11]	鍛ㄥ啗. 涓�绫诲叿鏈夊眬閮ㄥ寲婧愬拰鍚告敹椤圭殑鎶涚墿绯荤粺瑙ｇ殑鏁翠綋瀛樺湪涓庣垎鐮�[J]. 鏁板瀛︽姤, 2013, 56(1): 67-86.
[12]	瀹嬪皬鍐�, 绫虫案鐢�, 绌嗘槬鏉�. 涓�绫诲弻閲嶉��鍖栨姏鐗╂柟绋嬬粍瑙ｇ殑鏁翠綋瀛樺湪涓庣垎鐮�[J]. 鏁板瀛︽姤, 2012, (2): 281-292.
[13]	鍘熶繚鍏�. Boussinesq鏂圭▼缁勫湪Besov绌洪棿涓眬閮ㄨВ鐨勫瓨鍦ㄦ�у拰寤舵嫇鍑嗗垯[J]. 鏁板瀛︽姤, 2010, 53(3): 455-468.
[14]	涓佷腹骞�, 鐭虫晱, 姣曚簯钑�. 骞夸箟瓒呭脊鎬ф潌鏂圭▼瑙ｇ殑鐖嗙牬[J]. 鏁板瀛︽姤, 2009, 52(6): 1111-1118.
[15]	鍒樻枃鍐�1鐜嬫槑鏂�. 涓�绫婚潪绾挎�ч��鍖栨尝鍔ㄦ柟绋嬭В鐨勭垎鐮�[J]. 鏁板瀛︽姤, 2008, 51(6): 1213-122.

甯﹂潪绾挎�ц竟鐣屾潯浠剁殑闈炵嚎鎬ф姏鐗╁瀷鏂圭▼缁�

Nonlinear Parabolic Equations with Nonlinear Boundary Conditions

PDF (PC)

鍙鍖�

鎽樿/Abstract

寮曠敤鏈枃

浣跨敤鏈枃

鍙傝�冩枃鐚�

鐩稿叧鏂囩珷 15

缂栬緫鎺ㄨ崘

Metrics

鏈枃璇勪环

鎵爜鍒嗕韩