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math.AP2025
On the growth properties of interior transmission eigenfunctions near corners
Emilia L. K. Blåsten, Valter Pohjola
We investigate the localization and vanishing of interior transmission eigenfunctions at corners. Past numerical computations suggest that these eigenfunctions localize at no…
math.AP2025
Gaussian beam interactions and inverse source problems for nonlinear wave equations
Matti Lassas, Tony Liimatainen, Valter Pohjola +1
We study the inverse source problem for the semilinear wave equation \[ (\Box_g + q_1)u + q_2 u^2 = F, \] on a globally hyperbolic Lorentzian manifold. We demonstrate that the coef…