The convexity of a planar domain via properties of solutions to the modified Helmholtz equation
arxiv(2024)
摘要
A new characterization of convexity of a planar domain is obtained. Its
derivation involves two classical facts: the Varadhan's formula, expressing the
distance function with respect to the domain's boundary via real-valued
solutions of the modified Helmholtz equation, and the convexity of a planar
domain in which the distance function is superharmonic
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要