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Symmetry and Separation in the case of Laplace operator in low dimensions
 Hudeček, Štěpán ; Krýsl, Svatopluk (advisor) ; Salač, Tomáš (referee)
In this thesis we analyze symmetry operators for partial differential opera- tors, in particular for Laplace and Helmholtz operators in dimension two and three. In both cases an important object is the Lie algebra of the Euclidean group. Separated solutions for partial differential operators are defined and il- lustrated for both of the mentioned operators. Examples of coordinate systems are listed, in which the solution separates. 1
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