Liouville Properties and Dimensionality Bounds for Harmonic and Caloric Functions
Classical Liouville type theorems claim that solutions to certain elliptic or parabolic PDE are trivial provided some generic constraints about the function and the underlying space. When the solution space is not trivial, one can ask whether it is a linear space with finite dimension. In this thesi...
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| Format: | Thesis |
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Massachusetts Institute of Technology
2023
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| Online dostop: | https://hdl.handle.net/1721.1/151505 |