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We study the boundary value problems for the Laplacian on a sequence of domains constructed by cutting level-n Sierpinski gaskets properly. Under proper assumptions on these domains, we manage to… Click to show full abstract
We study the boundary value problems for the Laplacian on a sequence of domains constructed by cutting level-n Sierpinski gaskets properly. Under proper assumptions on these domains, we manage to give an explicit Poisson integral formula to obtain a series of solutions subject to the boundary data. In particular, it is proved that there exists a unique solution continuous on the closure of the domain for a given sequence of convergent boundary values.
Keywords:
problems part;
boundary value;
value problems;
level sierpinski
Journal Title: Boundary Value Problems
Year Published: 2017
Link to full text (if available)
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Journal Title: Boundary Value Problems
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!