In this paper, the classical Lie group approach is extended to find some Lie point symmetries of differentialdifference equations. It reveals that the obtained Lie point symmetries can constitute a Kac-Moody-Virasoro ...In this paper, the classical Lie group approach is extended to find some Lie point symmetries of differentialdifference equations. It reveals that the obtained Lie point symmetries can constitute a Kac-Moody-Virasoro algebra.展开更多
Parabolic equations on general bounded domains are studied. Usingthe refined maximum principle, existence and the semigroup property of solutions are obtained. It is also shown that the solution obtained by PDE's ...Parabolic equations on general bounded domains are studied. Usingthe refined maximum principle, existence and the semigroup property of solutions are obtained. It is also shown that the solution obtained by PDE's method has the Feynmann_Kac representation for any bounded domains.展开更多
文摘In this paper, the classical Lie group approach is extended to find some Lie point symmetries of differentialdifference equations. It reveals that the obtained Lie point symmetries can constitute a Kac-Moody-Virasoro algebra.
基金This work was supported by the National Natural Science Foundation of China ( Grant No. 19631020) Mathematical Center of the Ministry of Education of China, Part of the work was completed while the authors were visiting Department of Mathematics, the
文摘Parabolic equations on general bounded domains are studied. Usingthe refined maximum principle, existence and the semigroup property of solutions are obtained. It is also shown that the solution obtained by PDE's method has the Feynmann_Kac representation for any bounded domains.
