Arapostathis, Ari; Biswas, Anup; Pradhan, Somnath On the monotonicity property of the generalized eigenvalue for weakly-coupled cooperative elliptic systems. (English) Zbl 1511.35141 J. Differ. Equations 351, 156-193 (2023). MSC: 35J47 35P05 PDFBibTeX XMLCite \textit{A. Arapostathis} et al., J. Differ. Equations 351, 156--193 (2023; Zbl 1511.35141) Full Text: DOI arXiv
Arapostathis, Ari; Biswas, Anup; Roychowdhury, Prasun Generalized principal eigenvalues on \({\mathbb{R}}^d\) of second order elliptic operators with rough nonlocal kernels. (English) Zbl 1504.35199 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 10, 31 p. (2023). MSC: 35P05 35B50 35J15 35R09 PDFBibTeX XMLCite \textit{A. Arapostathis} et al., NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 10, 31 p. (2023; Zbl 1504.35199) Full Text: DOI arXiv
Biswas, Anup; Pradhan, Somnath Ergodic risk-sensitive control for regime-switching diffusions. (English) Zbl 1505.93281 Syst. Control Lett. 170, Article ID 105399, 12 p. (2022). MSC: 93E20 93B60 93C10 PDFBibTeX XMLCite \textit{A. Biswas} and \textit{S. Pradhan}, Syst. Control Lett. 170, Article ID 105399, 12 p. (2022; Zbl 1505.93281) Full Text: DOI arXiv
Biswas, Anup; Pradhan, Somnath Ergodic risk-sensitive control of Markov processes on countable state space revisited. (English) Zbl 1493.90218 ESAIM, Control Optim. Calc. Var. 28, Paper No. 26, 50 p. (2022). MSC: 90C40 91B06 60J10 PDFBibTeX XMLCite \textit{A. Biswas} and \textit{S. Pradhan}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 26, 50 p. (2022; Zbl 1493.90218) Full Text: DOI arXiv
Arapostathis, Ari; Biswas, Anup; Roychowdhury, Prasun On ergodic control problem for viscous Hamilton-Jacobi equations for weakly coupled elliptic systems. (English) Zbl 1484.35193 J. Differ. Equations 314, 128-160 (2022). MSC: 35J60 35J47 35P30 49L25 PDFBibTeX XMLCite \textit{A. Arapostathis} et al., J. Differ. Equations 314, 128--160 (2022; Zbl 1484.35193) Full Text: DOI arXiv
Arapostathis, Ari; Biswas, Anup; Pradhan, Somnath On the policy improvement algorithm for ergodic risk-sensitive control. (English) Zbl 1469.35166 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 4, 1305-1330 (2021). MSC: 35P30 93E20 60J60 PDFBibTeX XMLCite \textit{A. Arapostathis} et al., Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 4, 1305--1330 (2021; Zbl 1469.35166) Full Text: DOI arXiv
Arapostathis, Ari; Biswas, Anup; Caffarelli, Luis On uniqueness of solutions to viscous HJB equations with a subquadratic nonlinearity in the gradient. (English) Zbl 1428.35125 Commun. Partial Differ. Equations 44, No. 12, 1466-1480 (2019). MSC: 35J60 35P30 35B40 35B50 PDFBibTeX XMLCite \textit{A. Arapostathis} et al., Commun. Partial Differ. Equations 44, No. 12, 1466--1480 (2019; Zbl 1428.35125) Full Text: DOI arXiv
Arapostathis, Ari; Biswas, Anup; Saha, Subhamay Strict monotonicity of principal eigenvalues of elliptic operators in \(\mathbb R^d\) and risk-sensitive control. (English. French summary) Zbl 1423.35267 J. Math. Pures Appl. (9) 124, 169-219 (2019). Reviewer: Gianfranco Bottaro (Genova) MSC: 35P15 93E20 35B40 35Q93 60J60 PDFBibTeX XMLCite \textit{A. Arapostathis} et al., J. Math. Pures Appl. (9) 124, 169--219 (2019; Zbl 1423.35267) Full Text: DOI arXiv
Arapostathis, Ari; Biswas, Anup; Ganguly, Debdip Certain Liouville properties of eigenfunctions of elliptic operators. (English) Zbl 1421.35072 Trans. Am. Math. Soc. 371, No. 6, 4377-4409 (2019). Reviewer: Petar Popivanov (Sofia) MSC: 35J15 35A02 35B40 35B60 PDFBibTeX XMLCite \textit{A. Arapostathis} et al., Trans. Am. Math. Soc. 371, No. 6, 4377--4409 (2019; Zbl 1421.35072) Full Text: DOI arXiv
Arapostathis, Ari; Biswas, Anup Infinite horizon risk-sensitive control of diffusions without any blanket stability assumptions. (English) Zbl 1390.35433 Stochastic Processes Appl. 128, No. 5, 1485-1524 (2018). MSC: 35R60 93E20 PDFBibTeX XMLCite \textit{A. Arapostathis} and \textit{A. Biswas}, Stochastic Processes Appl. 128, No. 5, 1485--1524 (2018; Zbl 1390.35433) Full Text: DOI arXiv