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一维燃烧自由边界问题

ONE DIMENSIONAL COMBUSTION FREE BOUNDARY PROBLEM
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摘要 研究了燃烧自由边界问题一维的情况,应用Schauder不动点定理得到了此问题局部古典解的存在唯一性. A combustion free boundary problem in one dimensional case is studied. The existence and uniqueness of classical solution locally in time of this problem are obtained by the use of fixed point theorem.
出处 《华南师范大学学报(自然科学版)》 CAS 2004年第1期43-48,共6页 Journal of South China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10371045) 广东省自然科学基金资助项目(000671)
关键词 自由边界问题 燃烧问题 古典解 SCHAUDER不动点定理 free boundary problem combustion problem classical solution.
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参考文献5

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  • 3LADYZENSKAJA O A, RIVKIND V Ja, URAL'CEVA N N. On the classical solvability of diffraction problems for equations of elliptic and parabolic types[J], Proc Steklov Inst Math, 1996,92:132- 166.
  • 4LADYZENSKAJA 0 A,SOLLNNIKOV V A,URAL'CEVA N N. Linear and quasilinear equations of parabolic types, Traslations of Mathematical Monographs( Vol 23) [ M], Rhode Island: American Mathematical Society, 1968.
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