Preprints

• Estimates of heat kernels for non-local regular Dirichlet forms (with A. Grigor’yan and K.-S. Lau) ( pdf, 39 pages)

• Upper bounds of heat kernels on doubling spaces (with A. Grigor’yan) (pdf, 56 pages )

• Inhomogeneous parabolic equations on unbounded metric measure spaces (with K.J. Falconer and Yuhua Sun), Proc. A of the Royal Society of Edinburgh (to appear) ( pdf, 24 pages)

Reprints

• Comparison inequalities for heat semigroups and heat kernels on metric measure spaces (with A. Grigor’yan, and Ka-Sing Lau) J. Funct. Anal. 259 (2010), 2613-2641. ( pdf, 25 pages)

• Schrödinger equations and heat kernel upper bounds on metric spaces (with M. Zähle), Forum Math. Vol. 22(No.6) (2010), 1213-1234. ( pdf)

• Heat kernels on metric spaces with doubling measure (with A. Grigor’yan and K.-S. Lau), Proceedings of Conference on Fractal Geometry in Greifswald IV, Birkhäuser, 2009, 3-44, ( pdf, 43 pages)

• Generalized Bessel and Riesz potentials on metric measure spaces (with M. Zähle), Potential Anal. 30 (2009) , 315-340, ( pdf)

• Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces (with A. Grigor’yan)£¬ Invent. Math. 174 (2008), 81¨C126, ( pdf)

• Obtaining upper bounds of heat kernels from lower bounds (with A. Grigor’yan and K.S. Lau), Comm. Pure Appl. Math. 61 (2008), no. 5, 639-660, ( pdf)

• A note on the limiting weak-type behavior for maximal operators (with X.P. Huang), Proc. Amer. Math. Soc. 136 (2008), 1599-1607, ( pdf)

• An analytical approach to heat kernel estimates on strongly recurrent metric spaces, Proc. Edin. Math. Soc. 51 (2008), 171-199. ( pdf)

• Heat kernel estimates on effective-resistance metric spaces (with Yuan Ji and Z.Y. Wen), Progress in Natural Science Vol.17 (2007), 775-783, ( revised, pdf)

• Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals (with X.S. Wang), Studia Math. 177 (2006), 153-172. ( pdf)
• Nash-type inequalities and heat kernels for non-local Dirichlet forms(with T. Kumagai), Kyushu J. Math. 60 (2006), 245--265. ( pdf)
• Fractal Laplace operators on bounded open subsets of R^d (with K.-S. Lau and S.-M. Ngai), J. Func. Anal. 239 (2006), 542-565.
• Equivalence conditions for on-diagonal upper bounds of heat kernels on self-similar spaces (with A. Grigor’yan and K.S. Lau), J. Func. Anal. 237 (2006), 427-445.
• Jump processes and nonlinear fractional heat equations on fractals (with M. Zähle), Math. Nachr. 279 (2006), 150-163.
• Potential spaces on fractals (with M. Zähle), Studia Math., 170 (2005), 259-281.
• Hajlasz-Sobolev type spaces on fractals (with Y. Ji and Z.Y. Wen), Ann. Acad. Sci. Fenn 30(1)

  (2005), 99-111

• Heat kernels on metric-measure spaces and an application to semilinear elliptic equations (with A. Grigor’yan and K.S. Lau), Tran. Amer. Math. Soc. 355 (2003), 2065--2095
• Nonlinear diffusion equations on unbounded fractal domains (with K.J. Falconer), J. Math. Anal. Appl. 256(2001), 606-624
• L¹-continuous dependence property for systems of conversation laws(with P.G. LeFloch), Arch. Rational Mech. Aanl. 151(2000), 49-52
• Two-dimensional Riemann problem for pressureless gas dynamics equations with functional solutions, Quart. Appl. Math. 58(2000), 251-264
• The Riemann problem for pressureless fluid dynamics with distribution solutions in Colombeau's sense, Comm. Math. Phys, 194(1998), 191-205
• The Riemann problem for a resonant nonlinear system of conservation laws with Dirac-measure solutions, Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), 81--94
• A limiting viscosity approach to Riemann solutions containing delta-shock waves for nonstrictly hyperbolic conservation laws, Quart. Appl. Math. 55 (1997), no. 2, 361--373.