Publications

Published:

  1. Pattar, R. R. and Kiran, N. U. (2021), Global well-posedness of a class of strictly hyperbolic Cauchy problems with coefficients non-absolutely continuous in time. Bulletin des Sciences Mathématiques, 171, 103037. Download paper here
  2. Pattar, R. R., Kiran, N. U. (2022) Strictly hyperbolic Cauchy problems on R^n with unbounded and singular coefficients. Annali dell’Universita di Ferrara, 68, 11–45. Download paper here
  3. Pattar, R. R., Kiran, N. U. (2022) Energy estimates and global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients singular in time, Journal of Pseudo-differential Operators and Applications, 13, 9. Download paper here
  4. Pattar, R. R., Kiran, N. U. (2022) Global well-posedness of a class of singular hyperbolic Cauchy problems, Monatshefte für Mathematik. Download paper here

Book Chapter

  1. Pattar, R.R., Uday Kiran, N. (2024), Global Well-Posedness with Loss of Regularity for a Class of Singular Hyperbolic Cauchy Problems. In: Ruzhansky, M., Van Bockstal, K. (eds) Extended Abstracts 2021/2022. APDEGS 2021. Trends in Mathematics- Vol 2. Birkhäuser, Cham. Download chapter here

Preprints

  1. Jathar, S.R., Kar, M., Krishnan, V. P., and Pattar, R. R. (2024), Weighted Divergent Beam Ray Transform: Construction, Unique Continuation and Stability. (Submitted to SIAM Journal of Applied Mathematics)
  2. Bansal, R., Krishnan, V. P., and Pattar, R. R. (2023), Determination of Lower Order Perturbations of a Polyharmonic Operator in Two Dimensions. Download paper here(Under consideration in Journal of Inverse and Ill-posed Problems)
  3. Pattar, R. R. and Uday Kiran, N. (2021), Strictly hyperbolic equations with coefficients sublogarithmic in time. Download paper here