Arshak Petrosyan

Applied Mathematics · 2000–2015

A researcher in the Science corpus: 9 papers; trusts 9 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 34 citations into it; #1,544 of 7,620 by trust here, #1,400 by citations
• Computational Theory and Mathematics — 26 citations into it; #2,297 of 12,182 by trust here, #2,689 by citations
• Mathematical Physics — 12 citations into it; #2,871 of 8,562 by trust here, #3,335 by citations

Whom Arshak Petrosyan trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Luis Caffarelli
2. Nicola Garofalo
3. Luis Silvestre
4. I. Athanasopoulos
5. H. Shahgholian
6. René L. Schilling

Who trusts Arshak Petrosyan overall

1. Nicola Garofalo
2. Xavier Fernández-Real
3. Xavier Ros-Oton
4. Alessio Figalli
5. Herbert Koch
6. D. Danielli
7. John L. Lewis
8. Nicola Abatangelo
9. Maria Colombo
10. Kaj Nyström

Papers from Arshak Petrosyan's perspective

Ordered by how strongly the researchers Arshak Petrosyan trusts endorse each paper. Same corpus, a different order for every researcher.

1. Financial Modelling with Jump Processes
2. An Extension Problem Related to the Fractional Laplacian
3. Regularity of solutions to the parabolic fractional obstacle problem
4. Regularity of a free boundary in parabolic potential theory
5. Geometric Measure Theory
6. Logarithmic Sobolev Inequalities
7. Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem
8. TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE 1 ModDrop
9. Geometrical properties of solutions of the porous medium equation for large times
10. Variational problems with free boundaries for the fractional Laplacian

Their papers

• Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem (2008) — 127 citations
• Regularity of a free boundary in parabolic potential theory (2004) — 104 citations
• An epiperimetric inequality approach to the regularity of the free boundary in the Signorini problem with variable coefficients (2015) — 48 citations
• A minimum problem with free boundary for a degenerate quasilinear operator (2005) — 105 citations
• Regularity of Free Boundaries in Obstacle-type Problems (2012) — 321 citations
• Higher regularity of the free boundary in the elliptic Signorini problem (2014) — 63 citations
• Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem (2013) — 55 citations
• Large-time geometric properties of solutions of the evolution p-Laplacian equation (2006) — 70 citations
• On the Porosity of Free Boundaries in Degenerate Variational Inequalities (2000) — 61 citations