J4
• 数学 • Previous Articles Next Articles
ZHOU Wen-shu, CAI Shou-feng
Received:
Revised:
Online:
Published:
Contact:
Abstract: The property of the viscosity solutions of the Cauchy problem of a degenerate parabolic equation not in divergence form is studied. The viscosity solution means a weak solution in the distribution sense obtained by the vanishing viscosity method. Using some techiques of studying weak solutions and establishing some estimates on the viscosity solution, we prove the continuity of the viscosity solution with respect to aparameter contained in the equations.
Key words: viscosity solution, not in divergence form, degenerate parabolic equation, continuity
CLC Number:
ZHOU Wen-shu, CAI Shou-feng. Certain continuity of viscosity solutions of the Cauchy problemfor a degenerate parabolic equations not in divergence form[J].J4, 2004, 42(03): 341-345.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://xuebao.jlu.edu.cn/lxb/EN/
http://xuebao.jlu.edu.cn/lxb/EN/Y2004/V42/I03/341
Cited