Pedro Freitas

1. Extremal domains and P 'olya-type inequalities for the Robin Laplacian\n on rectangles and unions of rectangles
   2018/05/25 by Pedro Freitas, Freitas, Pedro, James B. Kennedy +1 · 3 citations
   Computer Science · Mathematics · #35J25 #35P15 (Primary) 35J05 #49R05 (Secondary) #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
2. Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin planar domains
   2007/12/19 by D. I. Borisov, Pedro Freitas, Borisov, Denis +1 · 2 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
3. Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in R^d
   2009/08/17 by D. I. Borisov, Borisov, Denis, Pedro Freitas +1 · 2 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
4. Families of non-tiling domains satisfying Pólya's conjecture
   2022/04/19 by Pedro Freitas, Isabel M. C. Salavessa, Freitas, Pedro +1 · 1 citation
   Mathematics · Computer Science · #Analytic and geometric function theory #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations
5. The determinant of one-dimensional polyharmonic operators of arbitrary\n order
   2020/01/14 by Pedro Freitas, Jiř̌í Lipovský, Freitas, Pedro +1 · 1 citation
   Materials Science · Mathematics · #34L15 (Primary) 47A10 #34L16 (Secondary) #FOS: Mathematics #FOS: Physical sciences #Holomorphic and Operator Theory #Mathematical Physics (math-ph) #Quasicrystal Structures and Properties #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics