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1. Sharp conditions for the BBM formula and asymptotics of heat content-type energies
   2025/02/20 by Luca Gennaioli, Gennaioli, Luca, Giorgio Stefani +1 · 1 citation
   Computer Science · Mathematics · #26D10 #35K08 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Primary 46E35. Secondary 26A33 #Spectral Theory in Mathematical Physics
2. Pointwise dispersive estimates for Schrodinger and wave equations in a conical singular space
   2024/11/25 by Qiuye Jia, Jia, Qiuye, Junyong Zhang +1 · 1 citation
   Mathematics · #33C10 #35B25 #35K08 #35K20 #35L05 #35Q41 #35S30 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
3. Heat kernel estimates for nonlocal kinetic operators
   2024/10/24 by Hou, Haojie, Zhang, Xicheng · 1 citation
   #35K08 #60H10 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
4. Diffusions and random walks with prescribed sub-Gaussian heat kernel estimates
   2024/10/21 by Murugan, Mathav · 1 citation
   #31E05 #35K08 #60J10 #60J46 #60J60 #FOS: Mathematics #Metric Geometry (math.MG) #Probability (math.PR)
5. Towards a Schauder theory for fractional viscous Hamilton--Jacobi equations
   2024/03/06 by Jakobsen, Espen R., Rutkowski, Artur · 1 citation
   #35A01 #35A09 #35B65 #35K08 #35K61 #35S10 #45K05 #49L12 #Analysis of PDEs (math.AP) #FOS: Mathematics
6. The master equation for mean field game systems with fractional and nonlocal diffusions
   2023/05/30 by Espen R. Jakobsen, Artur Rutkowski, Jakobsen, Espen Robstad +1 · 2 citations
   Economics, Econometrics and Finance · Mathematics · Medicine · #35A01 #35A08 #35K08 #35K61 #35Q89 #35S10 #45K05 #46E15 #46G05 #49L12 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and financial applications
7. The resolvent kernel on the discrete circle and twisted cosecant sums
   2023/04/29 by Jay Jorgenson, Jorgenson, Jay, Anders Karlsson +3 · 2 citations
   Mathematics · #05C99 #11L03 #35K08 #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Mathematical functions and polynomials #Number Theory (math.NT) #Spectral Theory in Mathematical Physics
8. Hardy Spaces Associated with Non-Negative Self-Adjoint Operators and Ball Quasi-Banach Function Spaces on Doubling Metric Measure Spaces and Their Applications
   2023/04/27 by Xiaosheng Lin, Lin, Xiaosheng, Dachun Yang +5 · 1 citation
   Mathematics · #35J30 #35K08 #42B35 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Primary 42B30 #Secondary 42B25
9. Dirichlet sub-Laplacians on homogeneous Carnot groups: spectral properties, asymptotics, and heat content
   2022/02/21 by Carfagnini, Marco, Gordina, Maria · 1 citation
   #35H10 #35K08 #35P05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Probability (math.PR)
10. Upper heat kernel estimates for nonlocal operators via Aronson's method
    2021/11/12 by Kassmann, Moritz, Weidner, Marvin · 1 citation
    #31C25 #35K08 #39B62 #47D07 #60J25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
11. Upper and lower bounds for Dunkl heat kernel
    2021/11/05 by Jacek Dziubański, Dziubański, Jacek, Agnieszka Hejna +1 · 2 citations
    Mathematics · #33C52 #35K08 #39A70 #43A32 #44A20 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
12. On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates II: Some borderline examples
    2021/08/04 by Kajino, Naotaka · 2 citations
    #28A80 #31C25 #35K08 #60G30 (Primary) 31E05 #60J60 (Secondary) #FOS: Mathematics #Probability (math.PR)
13. Convergence of the Yamabe flow on singular spaces with positive Yamabe constant
    2021/06/03 by Carron, Gilles, Lye, Jørgen Olsen, Vertman, Boris · 1 citation
    #35K08 #53C44 #58J35 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
14. Global Gaussian estimates for the heat kernel of homogeneous sums of squares
    2020/03/22 by Biagi, Stefano, Bramanti, Marco · 1 citation
    #35C15 #35H10 (primary) #35K08 #35K15 (secondary) #35K65 #35R03 #Analysis of PDEs (math.AP) #FOS: Mathematics
15. A refined Green's function estimate of the time measurable parabolic operators with conic domains
    2020/02/19 by Kim, Kyeong-Hun, Lee, Kijung, Seo, Jinsol · 1 citation
    #34B27 #35K08 #35K20 #60H15 #Analysis of PDEs (math.AP) #FOS: Mathematics
16. Davies method for heat kernel upper bounds of non-local Dirichlet forms on ultra-metric spaces
    2019/12/24 by Gao, Jin · 1 citation
    #28A80 #35K08 #60J35 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
17. Global Heat Kernels for Parabolic Homogeneous Hörmander Operators
    2019/10/22 by Biagi, Stefano, Bonfiglioli, Andrea · 1 citation
    #35A08 #35C15 #35J70 #35K08 #35K65 #Analysis of PDEs (math.AP) #FOS: Mathematics
18. Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms
    2018/07/26 by Ikehata, Ryo, Michihisa, Hironori · 1 citation
    #35B40 #35C20 #35K08 #35L05 #Analysis of PDEs (math.AP) #FOS: Mathematics
19. Gaussian bounds for the heat kernels on the ball and simplex: Classical approach
    2018/01/22 by Kerkyacharian, Gerard, Petrushev, Pencho, Xu, Yuan · 1 citation
    #35K08 #42C05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
20. Heat Kernel estimates for general boundary problems
    2016/04/04 by Li, Liangpan, Strohmaier, Alexander · 1 citation
    #35K08 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
21. Efficient sum-of-exponentials approximations for the heat kernel and their applications
    2013/08/18 by Shidong Jiang, Leslie Greengard, Jiang, Shidong +3 · 1 citation
    Engineering · Physics and Astronomy · #30E15 #35K05 #35K08 #45D05 #65E05 #65R10 #80A20 #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
22. Heat kernels and analyticity of non-symmetric jump diffusion semigroups
    2013/06/20 by Chen, Zhen-Qing, Zhang, Xicheng · 1 citation
    #35K08 #60H10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
23. Heat kernels on regular graphs and generalized Ihara zeta function formulas
    2013/02/19 by Chinta, Gautam, Jorgenson, Jay, Karlsson, Anders · 2 citations
    #05C #33A40 #35K08 #Analysis of PDEs (math.AP) #Combinatorics (math.CO) #FOS: Mathematics
24. Heat Kernel for Simply-Connected Riemann Surfaces
    2010/07/30 by Jones, Trevor H., Kucerovsky, Dan · 1 citation
    #35K08 #58J35 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics