Publications



L. Escauriaza, M.A. de Prada.Separation axioms in Fuzzy Topological Spaces. Proceedings of the ninth Spanish-Portuguese conference on Mathematics, 2Universidad de Salamanca (1982) 747-750.


B. Barcelo, L. Escauriaza, E.B. Fabes.Boundary Regularity of Gradient of Solutions of Elliptic Problems. Rendiconti del Seminario Matematico. Convegno su Partial Differential Equations and Geometry. Universitá e Politecnico di Torino. (1989) 11-24.


B. Barcelo, L. Escauriaza, E.B. Fabes. Gradient Estimates at the Boundary for Solutions to Nondivergence Elliptic EquationsContemporary Mathematics. Amer. Math- Soc. 107 (1990) 1-12.


L. Escauriaza. Uniqueness in the Dirichlet Problem for Elliptic Operators with Time Independent CoefficientsAmer. Math. Soc. Springer-Verlag. The IMA Vol. in Math. and its applic. "Partial Differential Equations with Minimal Smoothness and Applications". 42 (1990) 115-137.


M.C. Cerutti, L. Escauriaza, E.B. Fabes. Uniqueness for Some Diffusions with Discontinuous CoeficientsAnn.  Probab.19, 2 (1991) 525-537.


L. Escauriaza, E.B. Fabes, G. Verchota. On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz BoundariesP. Am. Math. Soc.115, 4 (1992) 1069-1076.


L. Escauriaza. A Note on Krylov-Tso's Parabolic Inequality. P. Am. Math. Soc. 115, 4 (1992) 1053-1056.


L. Escauriaza, Seo Jin Keun. Regularity Properties of Solutions to Transmissions Problems. T. Am. Math. Soc. 338, 1 (1993) 405-430.


M.C. Cerutti, L. Escauriaza, E.B. Fabes. Uniqueness in the Dirichlet Problem for Some Elliptic Operators with Discontinuous Coefficients.  Ann. Mat. Pur. Appl.163, 1 (1993) 161-180.


L. Escauriaza. W^{2,n} a Priori Estimates for Solutions to Fully Nonlinear Elliptic Equations. Indiana U. Math. J. 42 (1993) 413-424.


L. Escauriaza, C.E. Kenig. Area Integral Estimates for Solutions and Normalized Adjoint Solutions to Elliptic Operators in Nondivergence Form. Ark. Mat. 31, 2 (1994) 275-296.


L. Escauriaza. Weak Type-(1,1) Inequalities, Regularity of Adjoint and Normalized Adjoint Solutions for Linear Elliptic Operators with VMO CoefficientsDuke Math. J. 74, 1 (1994) 177-201.


V. Adolfsson, L. Escauriaza, C.E. Kenig. Convex Domains and Unique Continuation at the Boundary. Rev. Mat. Iberoam. 11, 3 (1995) 513-525.


L. Escauriaza. The L^p-Dirichlet Problem for Small Perturbations of the Laplacian. Israel J. Math. 94 (1996) 353-366.


V. Adolfsson, L. Escauriaza. C^{1,\alpha} Domains and Unique Continuation at the BoundaryCommun. Pur. Appl. Math. L  (1997) 935-969.


L. Escauriaza. Bounds for the Fundamental Solution of Elliptic Equations in Nondivergence Form.  Commun. Part. Diff. Eq. 25, 5 (2000) 821-845.


L. Escauriaza. Carleman Inequalities and the Heat Operator. Duke Math. J. 104, 1 (2000) 113-127.


L. Escauriaza. The Modified Bers ConjectureCurrent Developments in Mathematics. Cambridge MA. International Press, Boston MA, 1999 (1997) 225-226.


L. Escauriaza, L. Vega. Carleman Inequalities and the Heat Operator II. Indiana U. Math. J.50, 3 (2001) 1149-1169.


L. Escauriaza, F.J. Fernández. Unique Continuation for Parabolic Operators. Ark. Mat. 41, 1  (2003) 35-60.


L. Escauriaza, G. Seregin, V. Sverák. Backward Uniqueness for Parabolic Operators. Arch. Rational Mech. Anal. 169 (2003) 147-157.


L. Escauriaza, G. Seregin, V. Sverák. On Backward Uniqueness for Parabolic Equations. Zapiski Nauch. Semiar. POMI. 288 (2002) 100-103.English Translation: Journal of Mathematical Sciences, 123, 6 (2004) 4577-4579.


L. Escauriaza, G. Seregin, V. Sverák. Backward Uniqueness for the Heat Operator in a Half-Space. Algebra and Analysis 15, 1 (2003) 201-124. English Translation: St. Petersburg Math. J. 15, 1(2004) 139-148.


L. Escauriaza, G. Seregin, V. Sverák. L^{3,\infty}-solutions to the Navier-Stokes Equations and Backward Uniqueness. Uspekhi Mat. Nauk 58, 2 (2003) 3-44. English Translation: Russ. Math. Surv. 58, 2 (2003) 211-250.


L. Escauriaza, S. Vessella. Optimal Three Cylinder Inequalities for Solutions to Parabolic Equations with Lipschitz Leading Coefficients. Contemporary Mathematics 333 (2003) 79-87.


L. Escauriaza, M. Mitrea. Transmission Problems and Spectral Theory for Singular Integral Operators on Lipschitz Domains. J. Func. Anal. 216, 1 (2004) 141-171.


L. Escauriaza, F.J. Fernández, S. Vessella. Doubling Properties of Caloric Functions. Appl. Anal.85, 1-3 (2006) 205-223.


L. Escauriaza. Unique Continuation for the System of Elasticity in the Plane. Proc. Amer. Math. Soc. 134 (2006) 2015-2018.


L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega. Decay at Infinity of Caloric functions within Characteristic Hyperplanes. Math. Res. Lett. 13, 3 (2006) 441-453.


L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega. On Uniqueness Properties of Solutions of Schrödinger Equations. Commun. Part.  Diff. Eq. 35, 12 (2006) 1811-1823.


L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega. On Uniqueness Properties of Solutions of the k-Generalized KdV Equations. J. Func. Anal. 244 (2007) 504-535.


L. Escauriaza. The Taylor Series of the Gaussian Kernel. Journal of Nonlinear and Convex Analysis  7, 3(2006) 405-410.


G.Alessandrini, L. Escauriaza. Null-Controllability of One-Dimensional Parabolic Equations. ESAIM Contr. Op. Ca.  Va. 14 (2008) 284-293.


L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega. Convexity Properties of Free Solutions of Schrödinger Equations with Gaussian Decay. Math. Res. Lett. 15, 5 (2008) 957-971.


L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega. Hardy's Uncertainty Principle, Convexity and Schrödinger Evolutions. J. Eur. Math. Soc. 10, 4 (2008) 883-907.


J. De la Cal, J. Cárcamo, L. Escauriaza. A General Multidimensional Hermite-Hadamard Type Inequality. J. of Math. Anal. Appl.356, 2 (2009) 659-663.


L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega. The Sharp Hardy Uncertainty Principle for Schrödinger Evolutions. Duke Math. J. 155, 1 (2010) 163-187.


L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega. Uncertainty Principle of Morgan Type and Schrödinger EvolutionsJ. London Math. Soc. 83, 1 (2011) 187-207. 


M. Cowling, L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega. The Hardy Uncertainty Principle RevisitedIndiana U. Math. J. 59, 6 (2010) 2007-2026.


L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega. Unique continuation for Schrödinger evolutions with applications to profiles of concentration and traveling waves. Comm. Math. Phys. 305, 2 (2011) 487-512.


L. Escauriaza, L. Fanelli, L. Vega. Carleman Estimates and Necessary Conditions for the Existence of Waveguides. To appear in Indianna Math. J.


J. Apraiz, L. Escauriaza. Null-Control and Measurable Sets. To appear in ESAIM:COCV. DOI: 10.1051/cocv/2012055.


L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega. Uniqueness Properties of Solutions to Schrödinger Equations. Bulletin (New Series) of the Amer. Math. Soc. 49, 3 (2012) 415-442.

 

J. Apraiz, L. Escauriaza, G. Wang, C. Zhang. Observability Inequalities and Measurable Sets. To appear.