Fourier series approach to operator-dependent problems
This chapter can be seen as the counterpart of the previous chapter. This time operator-dependent partial differential equations in the cube (0, 2π) n are treated. Here generalized periodic and mixed Dirichlet-Neumann boundary conditions are imposed. This chapter further completes the abstract background for the upcoming treatment of cylindrical boundary value problems.
KeywordsHomogeneous Polynomial Fourier Multiplier Contraction Principle Leibniz Rule Multiplier Theorem
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