Vibration Boundary Value of the Dirichlet Problem for Diffusion Equation
Received:May 22, 1993  
Key Words: diffusion equation   vibration boundary value.  
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Author NameAffiliation
Wu Dong sheng Dept. of Math.
Hebei University
Baoding 071002 
Wu Hong lu Dept. of Math.
Hebei University
Baoding 071002 
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Abstract:
      In this paper, the upper(lower) semicontinuous function is assumed to be the boundary value function of the Dirichlet problem for diffusion equation ut=1/2Δu+cu , in D where D is a bounded open connected subset of R. Vibration boundary value is discussed for the Dirichlet problem for diffusion equation. Using probability methods, we obtained theeaistence, uniqueness and stability of the solution.
Citation:
DOI:10.3770/j.issn:1000-341X.1996.02.010
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