Abstract
We investigate the well-posedness of a problem with multipoint conditions with respect to a chosen variable t and periodic conditions with respect to coordinates x 1,..., x p for a nonisotropic (concerning differentiation with respect to t and x 1,..., x p) partial differential equation with constant complex coefficients. We establish conditions for the existence and uniqueness of a solution of this problem and prove metric theorems on lower bounds for small denominators appearing in the course of the construction of its solution.
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Ptashnyk, B.I., Symotyuk, M.M. Multipoint Problem for Nonisotropic Partial Differential Equations with Constant Coefficients. Ukrainian Mathematical Journal 55, 293–310 (2003). https://doi.org/10.1023/A:1025468413500
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DOI: https://doi.org/10.1023/A:1025468413500