Publications of Jeff E. Lewis

Jeff E. Lewis.  Singular integral operators on $C^1$ manifolds and $C^1$ curvilinear polygons.  In Special functions, partial differential equations, and harmonic analysis, pages 135--161.  Springer, Cham, 2014. MR3297659. 
Jeff E. Lewis, Renata Selvaggi and Irene Sisto.  Singular integral operators on $C^1$ manifolds.  Trans. Amer. Math. Soc., 340(1):293--308, 1993. MR1124170
Jeff E. Lewis.  A symbolic calculus for layer potentials on $C^1$ curves and $C^1$ curvilinear polygons.  Proc. Amer. Math. Soc., 112(2):419--427, 1991. MR1043413
Jeff E. Lewis.  Layer potentials for elastostatics and hydrostatics in curvilinear polygonal domains.  Trans. Amer. Math. Soc., 320(1):53--76, 1990. MR1005935
Antonio Bove, Jeff E. Lewis, Cesare Parenti and Hidetoshi Tahara.  Cauchy problem for Fuchsian hyperbolic operators. II.  J. Fac. Sci. Univ. Tokyo Sect. IA Math., 34(1):127--157, 1987. MR882128
A. Bove, J. E. Lewis and C. Parenti.  Structure properties of solutions of some Fuchsian hyperbolic equations.  Math. Ann., 273(4):553--571, 1986. MR826459
Antonio Bove, Jeff E. Lewis, Cesare Parenti and Hidetoshi Tahara.  Singularities and Cauchy problem for Fuchsian hyperbolic equations.  Proc. Japan Acad. Ser. A Math. Sci., 62(3):80--82, 1986. MR846357
A. Bove, J. E. Lewis and C. Parenti.  Cauchy problem for Fuchsian hyperbolic operators.  Hokkaido Math. J., 14(2):175--248, 1985. MR798755
A. Bove, J. E. Lewis and C. Parenti.  Parametrix for a characteristic Cauchy problem.  Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 12(1):1--42, 1985. MR818800
Antonio Bove, Jeff E. Lewis and Cesare Parenti.  Problème de Cauchy pour des opérateurs hyperboliques Fuchsiens.  C. R. Acad. Sci. Paris Sér. I Math., 299(8):335--338, 1984. MR761260
Jeff E. Lewis and Cesare Parenti.  Pseudodifferential operators of Mellin type.  Comm. Partial Differential Equations, 8(5):477--544, 1983. MR695401
Antonio Bove, Jeff E. Lewis and Cesare Parenti.  Propagation of singularities for Fuchsian operators, volume 984 of Lecture Notes in Mathematics.  Springer-Verlag, Berlin, 1983. MR701390
Jeff E. Lewis and Cesare Parenti.  Parametrices for a class of totally characteristic operators.  J. Differential Equations, 50(3):305--317, 1983. MR723573
Jeff E. Lewis and Cesare Parenti.  Abstract singular parabolic equations.  Comm. Partial Differential Equations, 7(3):279--324, 1982. MR646709
Antonio Bove, Jeff E. Lewis and Cesare Parenti.  Propagation des singularités pour des opérateurs du type de Fuchs.  C. R. Acad. Sci. Paris Sér. I Math., 295(2):91--93, 1982. MR676371
Jeff E. Lewis and Cesare Parenti.  $L^p$ Estimates for a Singular Hyperbolic Equation.  In Proc. of Conf. on Harmonic Analysis in Honor A. Zygmund, pages 634-637.  Wadsworth, 1982.
Jeff E. Lewis and Cesare Parenti.  Pseudodifferential operators and Hardy kernels on $L^{p}({\bf R}^{+})$.  Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 7(3):481--503, 1980. MR597548
Jeff E. Lewis.  Estimates for Poisson's equation when the curvature of the boundary is in an Orlicz class.  Boll. Un. Mat. Ital. A (5), 15(1):87--93, 1978. MR0481409
E. B. Fabes, Max Jodeit, Jr. and Jeff E. Lewis.  Double layer potentials for domains with corners and edges.  Indiana Univ. Math. J., 26(1):95--114, 1977. MR0432899
E. B. Fabes, J. E. Lewis and N. M. Rivière.  Singular integrals and hydrodynamic potentials.  Amer. J. Math., 99(3):601--625, 1977. MR0454745
E. B. Fabes, J. E. Lewis and N. M. Rivière.  Boundary value problems for the Navier-Stokes equations.  Amer. J. Math., 99(3):626--668, 1977. MR0460928
Jeff E. Lewis.  Hydrodynamical potentials and parabolic singular integral operators.  Confer. Sem. Mat. Univ. Bari, 149:10, 1977. MR506563
E. B. Fabes, Max. Jr. Jodeit and J. E. Lewis.  On the spectra of a Hardy kernel.  J. Functional Analysis, 21(2):187--194, 1976. MR0394311
C. P. Calderón and J. E. Lewis.  On the differentiability of functions of several real variables.  Illinois J. Math., 20(3):535--542, 1976. MR0415298
C. P. Calderón and J. Lewis.  Maximal smoothing operators and some Orlicz classes.  Studia Math., 57(3):285--296, 1976. MR0448060
J. E. Lewis.  A Banach space whose elements are classes of sets of constant width.  Canad. Math. Bull., 18(5):679--689, 1975. MR0493260
Pauline van den Driessche, editors.  Mathematical problems in biology.  Springer-Verlag, Berlin, 1974. MR0345661
Jeff E. Lewis.  The initial-boundary value problem for the Navier-Stokes equations with data in $L^{p}$.  Indiana Univ. Math. J., 22:739--761, 1972/73. MR0316916
M. Edelstein and J. E. Lewis.  On exposed and farthest points in normed linear spaces.  J. Austral. Math. Soc., 12:301--308, 1971. MR0310596
Jeff E. Lewis.  A Poisson integral formula for solutions of parabolic partial differential equations.  J. Math. Anal. Appl., 26:479--511, 1969. MR0600886
J. E. Lewis.  Mixed estimates for singular integrals and an application to initial value problems in parabolic differential equations.  In Singular Integrals (Proc. Sympos. Pure Math., Chicago, Ill., 1966), pages 218--231.  Amer. Math. Soc., Providence, R.I., 1967. MR0234130
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