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, 200, 335–357. Download paper here
  5. Bansal, R., Krishnan, V. P., and Pattar, R. R. (2024), Determination of Lower Order Perturbations of a Polyharmonic Operator in Two Dimensions. 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. Download paper here (Submitted to SIAM Journal of Mathematical Analysis)
  2. Pattar, R. R. and Uday Kiran, N. (2021), Strictly hyperbolic equations with coefficients sublogarithmic in time. Download paper here