3 papers
math.AP2026
Addendum to Spectral bounds for the operator pencil of an elliptic system in an angle
Michael Tsopanopoulos
This addendum extends the spectral lower bounds established in the original paper to the Neumann problem. Under the formal positivity assumption on the elliptic tuple, we prove tha…
math.AP2026
Towards a Fundamental Principle for -Homogeneous Solutions on Cones
Michael Tsopanopoulos
We prove a weak fundamental principle for -homogeneous solutions of homogeneous constant-coefficient systems on open pointed convex cones. Starting with the solution family $S_…
math.AP2025
Spectral bounds for the operator pencil of an elliptic system in an angle
Michael Tsopanopoulos
The model problem of a plane angle for a second-order elliptic system subject to Dirichlet, mixed, and Neumann boundary conditions is analyzed. For each boundary condition, the exi…