Publications of 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.
Singular integral operators on $C^1$ manifolds.
Trans. Amer. Math. Soc.,
340(1):293--308, 1993.
MR1124170
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
Layer potentials for elastostatics and hydrostatics in curvilinear polygonal domains.
Trans. Amer. Math. Soc.,
320(1):53--76, 1990.
MR1005935
Cauchy problem for Fuchsian hyperbolic operators. II.
J. Fac. Sci. Univ. Tokyo Sect. IA Math.,
34(1):127--157, 1987.
MR882128
Structure properties of solutions of some Fuchsian hyperbolic equations.
Math. Ann.,
273(4):553--571, 1986.
MR826459
Singularities and Cauchy problem for Fuchsian hyperbolic equations.
Proc. Japan Acad. Ser. A Math. Sci.,
62(3):80--82, 1986.
MR846357
Cauchy problem for Fuchsian hyperbolic operators.
Hokkaido Math. J.,
14(2):175--248, 1985.
MR798755
Parametrix for a characteristic Cauchy problem.
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4),
12(1):1--42, 1985.
MR818800
Problème de Cauchy pour des opérateurs hyperboliques Fuchsiens.
C. R. Acad. Sci. Paris Sér. I Math.,
299(8):335--338, 1984.
MR761260
Pseudodifferential operators of Mellin type.
Comm. Partial Differential Equations,
8(5):477--544, 1983.
MR695401
Propagation of singularities for Fuchsian operators, volume 984 of Lecture Notes in Mathematics.
Springer-Verlag, Berlin, 1983.
MR701390
Parametrices for a class of totally characteristic operators.
J. Differential Equations,
50(3):305--317, 1983.
MR723573
Abstract singular parabolic equations.
Comm. Partial Differential Equations,
7(3):279--324, 1982.
MR646709
Propagation des singularités pour des opérateurs du type de Fuchs.
C. R. Acad. Sci. Paris Sér. I Math.,
295(2):91--93, 1982.
MR676371
$L^p$ Estimates for a Singular Hyperbolic Equation.
In Proc. of Conf. on Harmonic Analysis in Honor A. Zygmund,
pages 634-637. Wadsworth, 1982.
Pseudodifferential operators and Hardy kernels on $L^{p}({\bf R}^{+})$.
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4),
7(3):481--503, 1980.
MR597548
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
Double layer potentials for domains with corners and edges.
Indiana Univ. Math. J.,
26(1):95--114, 1977.
MR0432899
Singular integrals and hydrodynamic potentials.
Amer. J. Math.,
99(3):601--625, 1977.
MR0454745
Boundary value problems for the Navier-Stokes equations.
Amer. J. Math.,
99(3):626--668, 1977.
MR0460928
Hydrodynamical potentials and parabolic singular integral operators.
Confer. Sem. Mat. Univ. Bari,
149:10, 1977.
MR506563
On the spectra of a Hardy kernel.
J. Functional Analysis,
21(2):187--194, 1976.
MR0394311
On the differentiability of functions of several real variables.
Illinois J. Math.,
20(3):535--542, 1976.
MR0415298
Maximal smoothing operators and some Orlicz classes.
Studia Math.,
57(3):285--296, 1976.
MR0448060
A Banach space whose elements are classes of sets of constant width.
Canad. Math. Bull.,
18(5):679--689, 1975.
MR0493260
Mathematical problems in biology.
Springer-Verlag, Berlin, 1974.
MR0345661
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
On exposed and farthest points in normed linear spaces.
J. Austral. Math. Soc.,
12:301--308, 1971.
MR0310596
A Poisson integral formula for solutions of parabolic partial differential equations.
J. Math. Anal. Appl.,
26:479--511, 1969.
MR0600886
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