Publications   

12. (with Vesa Julin) Harnack inequality for degenerate fully nonlinear parabolic equations, arXiv.

11. (with Daniele De Gennaro and Anna Kubin) The asymptotic of the Mullins-Sekerka and the area-preserving  mean curvature flow in the planar flat torus, Journal of Differential Equations,  451 (2026), 113755, Paper  arXiv.

10. (with Wenhui Shi) Optimal regularity for the variable coefficients parabolic Signorini problem, accepted for publication in  Indiana University Mathematics Journal, arXiv. 

9. (with Agnid Banerjee and Nicola Garofalo) Sharp order of vanishing for parabolic equations, nodal set estimates and Landis type results,  accepted for publication in Archive for Rational Mechanics and Analysis, arXiv .

8. (with Vesa Julin) Hölder Continuity and Harnack estimate for non-homogeneous parabolic equations, Math. Ann. (2024), Paper   arXiv. 

7. (with Agnid Banerjee) Space-like quantitative uniqueness for parabolic operators, J. Math. Pure. Appl. (9) 177 (2023), 214-259 , Paper  arXiv .

6. (with Dharmendra Kumar) Carleman estimates for sub-Laplacians on Carnot groups, Analysis and Mathematical Physics 13, Article number: 55 (2023), Paper   arXiv .

5. (with Agnid Banerjee) Quantitative uniqueness for fractional heat type operators, Calc. Var. Partial Differential Equations 62 (2023), no. 7, Paper No. 195, 47 pp. ,Paper  arXiv .

4. (with Agnid Banerjee, Donatella Danielli and Nicola Garofalo) Space like strong unique continuation for some fractional parabolic equations. J. Funct. Anal. 284(2023), No. 1, Paper number: 109723, Paper  arXiv. 

3. (with Dharmendra Kumar) Borderline gradient continuity for fractional heat type operators. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2023;153(5):1651-1682 , Paper arXiv .

2. An Intrinsic Harnack inequality for some non-homogeneous parabolic equations in non-divergence form. Calc. Var. Partial Differential Equations 61 (2022), no. 1, Paper No. 30, 31 pp, Paper  arXiv. 

1.(with Agnid Banerjee) Strong backward uniqueness for sublinear parabolic equations. NoDEA Nonlinear Differential Equations Appl. 27 (2020), no. 6, Paper No. 50, 18 pp., Paper  arXiv .

e-mail:  arya.vedansh[at]math.uu.se, vedansh1714180[at]gmail.com.

Google-Scholar Mathscinet         Orcid