In this paper, we study the spectral properties of a class of differential operators of hyperbolic type with variable unbounded coefficients. We find conditions for the existence of a resolvent… Click to show full abstract
In this paper, we study the spectral properties of a class of differential operators of hyperbolic type with variable unbounded coefficients. We find conditions for the existence of a resolvent and maximum regularity of solutions. We also find conditions that ensure the compactness of the resolvent. We obtain two‐sided estimates of approximation numbers (c‐numbers). In addition, we give an example showing how to find estimates of eigenvalues using estimates of approximation numbers.
Keywords:
hyperbolic type;
estimates eigenvalues;
separability estimates;
class;
differential operators
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2025
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2025
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!