Existence of new self-similar solutions of the fast diffusion equation
快速扩散方程的新自相似解的存在性
专题命中 扩散模型 :diffusion(title,abstract)
AI总结 该论文证明了快速扩散方程的两类径向对称解的存在性,推导了对应的后向相似解,并通过匹配渐近分析新证了Peletier和Zhang关于该方程唯一径向对称解的相关结果。
Comments 50 pages, sections 1-3 are rewritten, sections 4-5 are added with new proof of Peletier and Zhang's result on existence of self-similar solution of the fast diffusion equation with finite L1 norm