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Associative Space-Time Sedenions and Their Application in Relativistic Quantum Mechanics and Field Theory
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作者 Victor L. Mironov Sergey V. Mironov 《Applied Mathematics》 2015年第1期46-56,共11页
We present an alternative sixteen-component hypercomplex scalar-vector values named “space-time sedenions”, generating associative noncommutative space-time Clifford algebra. The generalization of relativistic quant... We present an alternative sixteen-component hypercomplex scalar-vector values named “space-time sedenions”, generating associative noncommutative space-time Clifford algebra. The generalization of relativistic quantum mechanics and field theory equations based on sedenionic wave function and space-time operators is discussed. 展开更多
关键词 CLIFFORD Algebra SPACE-TIME Sedenions Relativistic Quantum Mechanics Sedenionic KLEIN-GORDON EQUATION Sedenionic Dirac EQUATION Sedenionic Maxwell equiations
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EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTION OF NONLINEAR PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITION 被引量:4
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作者 WuYONGHUI WANGMINGXIN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1995年第3期371-378,共8页
This paper deals with the existence and nonexistence of global positive solution of the following equation:where p, q, m, α are parameters with is a bounded domain with Ω smooth enough, The necessary and sufficient ... This paper deals with the existence and nonexistence of global positive solution of the following equation:where p, q, m, α are parameters with is a bounded domain with Ω smooth enough, The necessary and sufficient conditions for the global existence of solution are obtained. 展开更多
关键词 Nonlinear parabolic equiation Nonlinear boundary condition EXISTENCE Blow-up Subsolution and supersolution.
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