Latest Research in Analysis of PDEs

Top Research Topics in Analysis of PDEs

• Analysis of PDEs — 35 papers
• Dynamical Systems — 8 papers
• Probability — 6 papers
• Functional Analysis — 5 papers
• Nonlinear Partial Differential Equations — 4 papers
• Holomorphic and Operator Theory — 3 papers
• Classical Analysis and ODEs — 2 papers
• Operator Algebras — 2 papers
• Computational Geometry and Mesh Generation — 2 papers
• Spectral Theory in Mathematical Physics — 2 papers

Highest-Cited Papers

1. Singular limit of lattice graphs and its application to critical Lane--Emden equations on lattice graphs
2. A determinant identity for the sum of contour integral matrices
3. On the Regularity of Solutions to the Hamilton–Jacobi Equations for the N-Body Problem
4. Remarks on the antimaximum principle
5. Connective Constants on Nested Fractal Graphs
6. A Numerical Investigation of the Rayleigh$-$Faber$-$Krahn Inequality for Polyhedral Domains
7. Poisson operator on the interacting Fock space associated with a discrete-time quantum walk
8. Local smoothing for rough wave equations
9. A quantitative Talenti-type comparison result with Robin boundary conditions
10. The Heavy-tailed Frog Model
11. Eigensystems of Dirac operators with singular potentials
12. Infinite-Piecewise Expanding Maps: Chaos, Ergodicity and Invariant-Set Complexity
13. Local Lipschitz continuity for energy integrals under unified general growth of fast and slow type
14. Integral representation of Lyapunov exponents
15. Extremizers for a trilinear Stein-Weiss inequality with nonnegative weights
16. The Entropic Sum-Product Phenomenon
17. Strong convergence to operator-valued semicirculars
18. Polyconvexity implies Hill's inequality in ${\rm SL}(2)$
19. On boundary regularity for the fractional p-Laplacian with unbounded reactions
20. Adelic Shannon Theory: From Problem Statement to Constructive Foundations