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On the heat kernel of a class of fourth order operators in two dimensions: sharp Gaussian estimates and short time
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*J. Differential Equations, to appear*- (with S. Filippas and A. Tertikas) Sharp Hardy and Hardy-Sobolev inequalities with point singularities on the boundary
*J. Math. Pures Appl., to appear*- Gaussian estimates with best constants for higher-order Schrödinger operators with Kato potentials
*Proc. Amer. Math. Soc.*145 (2017) 191-200- (with P.D. Lamberti) Monotonicity, continuity and differentiability results for the
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*J. Funct. Anal.*266 (2014) 3701-3725- (with F. Gazzola) Higher order linear parabolic equations
*Contemporary Mathematics*594 (2013) 77-97- (with J.M. Arrieta) Stability estimates in
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*`Around the Research of Vladimir Maz'ya II'*, International Mathematical Series, Laptev A. (ed.), Vol 12, Springer 2010- (with L. Parnovski) Bethe-Sommerfeld conjecture for pseudodifferential perturbation
*Comm. Partial Differential Equations*34 (2009) 383-418- Boundary decay estimates for solutions of fourth-order elliptic equations
*Ark. Mat.*45 (2007) 197-219- Best constants for higher-order Rellich inequalities in
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*Arch. Math. (Basel)*87 (2006) 343-349- Improved Rellich inequalities for the polyharmonic operator
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*J. Comp. Appl. Math.*194 (2006) 156-172- (with I. Stratis) Homogenization in chiral elasticity. In:
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- Sharp heat kernel estimates for higher-order operators with singular coefficients
*Proc. Edinburgh Math. Soc.*47 (2004) 53-67- (with S. Filippas and A. Tertikas) Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities
*J. Funct. Anal.*208 (2004) 1-30- (with I. Stratis) Homogenization of Maxwell's equations in linear dispersive bianisotropic media.
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- (with S. Filippas and A. Tertikas) Refined geometric
*L*Hardy inequalities^{p}*Commun. Contemp. Math.*5 (2003) 869-881- (with I. Stratis) Homogenization of Maxwell's equations in dissipative bianisotropic media
*Math. Methods Appl. Sci.*26 (2003) 1241-1253- (with S. Filippas and A. Tertikas) Series expansion for
*L*Hardy inequalities^{p}*Indiana Univ. Math. J.*52 (2003) 171-190- (with S. Filippas and A. Tertikas) A unified approach to improved
*L*Hardy inequalities with best constants^{p}*Trans. Amer. Math. Soc.*356 (2004) 2169-2196- Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients
*J. Differential Equations*174 (2001) 442-463- On the approximation of Finsler metrics on Euclidean domains
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*J. Funct. Anal.*155 (1998) 125-152- Sharp heat kernel bounds and Finsler-type metrics
*Quart. J. Math. Oxford Ser.*49 (1998) 261-277- (with E.B. Davies) Sharp bounds on heat kernels of higher order uniformly elliptic operators
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*L*- perturbation of the Riemannian metric^{p}*J. Anal. Math.*68 (1996) 253-276- Spectral stability under
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