Freitas, Pedro

1. From Neumann to Steklov and beyond, via Robin: the Weinberger way
   2018/10/17 by Freitas, Pedro, Laugesen, Richard · 4 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35P15. Secondary 33C10 #Spectral Theory (math.SP)
2. From Steklov to Neumann and beyond, via Robin: the Szegő way
   2018/11/13 by Freitas, Pedro, Laugesen, Richard S. · 4 citations
   #30C70 (Secondary) #35P15 (Primary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)
3. The spectrum of geodesic balls on spherically symmetric manifolds
   2016/03/08 by Borisov, Denis, Freitas, Pedro · 3 citations
   #35P15 #58C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)
4. Extremal domains and P 'olya-type inequalities for the Robin Laplacian\n on rectangles and unions of rectangles
   2018/05/25 by Pedro Freitas, James B. Kennedy, Freitas, Pedro +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
5. Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin planar domains
   2007/12/19 by D. I. Borisov, Borisov, Denis, Pedro Freitas +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
6. 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
7. Families of non-tiling domains satisfying Pólya's conjecture
   2022/04/19 by Pedro Freitas, Freitas, Pedro, Isabel M. C. Salavessa +1 · 3 citations
   Mathematics · Computer Science · #Analytic and geometric function theory #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations
8. Optimal unions of scaled copies of domains and Pólya's conjecture
   2019/08/22 by Freitas, Pedro, Lagacé, Jean, Payette, Jordan · 2 citations
   #35P15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)
9. Two balls maximize the third Neumann eigenvalue in hyperbolic space
   2020/09/21 by Freitas, Pedro, Laugesen, Richard S. · 1 citation
   #35P15 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
10. The damped wave equation with singular damping
    2020/02/09 by Freitas, Pedro, Hefti, Nicolas, Siegl, Petr · 1 citation
    #35L05 #35P15 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
11. 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