selected publications academic article Taliaferro, S. D. (2021). Existence of nonnegative solutions of nonlinear fractional parabolic inequalities. Journal of Evolution Equations. 21(4), 5003-5035. Taliaferro, S. D. (2020). Pointwise bounds and blow-up for nonlinear fractional parabolic inequalities. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. 133, 287-328. Taliaferro, S. D. (2020). Pointwise bounds and blow-up for systems of nonlinear fractional parabolic inequalities. Nonlinear Analysis Theory Methods and Applications. 195, 111744-111744. Ghergu, M., Taliaferro, S. D., & Verbitsky, I. E. (2019). POINTWISE BOUNDS AND BLOW-UP FOR SYSTEMS OF SEMILINEAR ELLIPTIC INEQUALITIES AT AN ISOLATED SINGULARITY VIA NONLINEAR POTENTIAL ESTIMATES. Journal d'Analyse Mathematique. 139(2), 799-840. Taliaferro, S. D. (2017). INITIAL POINTWISE BOUNDS AND BLOW-UP FOR PARABOLIC CHOQUARD-PEKAR INEQUALITIES. Discrete and Continuous Dynamical Systems Series A. 37(10), 5211-5252. Ghergu, M., & Taliaferro, S. D. (2017). Pointwise bounds and blow-up for systems of semilinear parabolic inequalities and nonlinear heat potential estimates. Journal of Functional Analysis. 272(4), 1301-1339. Ghergu, M., & Taliaferro, S. D. (2016). Pointwise bounds and blow-up for Choquard-Pekar inequalities at an isolated singularity. Journal of Differential Equations. 261(1), 189-217. Ghergu, M., & Taliaferro, S. D. (2015). Asymptotic behavior at isolated singularities for solutions of nonlocal semilinear elliptic systems of inequalities. Calculus of Variations and Partial Differential Equations. 54(2), 1243-1273. Ghergu, M., & Taliaferro, S. D. (2015). Nonexistence of Positive Supersolutions of Nonlinear Biharmonic Equations without the Maximum Principle. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. 40(6), 1029-1069. Taliaferro, S. D. (2013). Pointwise bounds and blow-up for nonlinear polyharmonic inequalities. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 30(6), 1069-1096. Ghergu, M., & Taliaferro, S. D. (2013). Singular semilinear elliptic inequalities in the exterior of a compact set. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 143(3), 563-588. Taliaferro, S. D. (2011). Initial blow-up of solutions of semilinear parabolic inequalities. Journal of Differential Equations. 250(2), 892-928. Ghergu, M., Moradifam, A., & Taliaferro, S. D. (2011). Isolated singularities of polyharmonic inequalities. Journal of Functional Analysis. 261(3), 660-680. Taliaferro, S. D. (2009). BLOW-UP OF SOLUTIONS OF NONLINEAR PARABOLIC INEQUALITIES. Transactions of the American Mathematical Society. 361(6), 3289-3302. Taliaferro, S. D. (2007). Isolated singularities of nonlinear parabolic inequalities. Mathematische Annalen. 338(3), 555-586. Taliaferro, S. D. (2006). Isolated singularities of nonlinear elliptic inequalities. II. Asymptotic behavior of solutions. INDIANA UNIVERSITY MATHEMATICS JOURNAL. 55(6), 1791-1811. Taliaferro, S. D., & Zhang, L. (2006). Asymptotic symmetries for conformal scalar curvature equations with singularity. Calculus of Variations and Partial Differential Equations. 26(4), 401-428. Taliaferro, S. D. (2005). Existence of large singular solutions of conformal scalar curvature equations in S-n. Journal of Functional Analysis. 224(1), 192-216. Taliaferro, S. D. (2002). Local behavior and global existence of positive solutions of au(lambda) <=-triangle u <= u(lambda). Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 19(6), 889-901. Taliaferro, S. D. (2001). Isolated singularities of nonlinear elliptic inequalities. INDIANA UNIVERSITY MATHEMATICS JOURNAL. 50(4), 1885-1897. Taliaferro, S. D. (2001). On the growth of superharmonic functions near an isolated singularity. II. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. 26(5-6), 1003-1026. Taliaferro, S. D. (1999). On the growth of superharmonic functions near an isolated singularity, I. Journal of Differential Equations. 158(1), 28-47. Taliaferro, S. D. (1999). Radial symmetry of positive solutions of nonlinear elliptic equations. Journal of Differential Equations. 156(2), 219-253. Taliaferro, S. D. (1997). An application of the isoperimetric inequality to the conformal scalar curvature equation. Mathematische Annalen. 309(1), 117-133. Taliaferro, S. D. (1996). Radial symmetry of large solutions of nonlinear elliptic equations. Proceedings of the American Mathematical Society. 124(2), 447-455. TALIAFERRO, S. D. (1995). ARE SOLUTIONS OF ALMOST RADIAL NONLINEAR ELLIPTIC-EQUATIONS ALMOST RADIAL. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. 20(11-12), 2057-2092. TALIAFERRO, S. D. (1993). ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF NONLINEAR ELLIPTIC-EQUATIONS. Archive for Rational Mechanics and Analysis. 122(2), 105-121. TALIAFERRO, S. D. (1990). INSTABILITY OF AN EQUILIBRIUM IN A POTENTIAL-FIELD. Archive for Rational Mechanics and Analysis. 109(2), 183-194. TALIAFERRO, S. D. (1989). STABILITY AND BIFURCATION OF TRAVELING WAVE SOLUTIONS OF NERVE AXON TYPE EQUATIONS. Journal of Mathematical Analysis and Applications. 137(2), 396-416. TALIAFERRO, S. D. (1987). STABILITY OF BIFURCATING SOLUTIONS IN THE PRESENCE OF SYMMETRY. Nonlinear Analysis Theory Methods and Applications. 11(7), 821-839. TALIAFERRO, S. D. (1986). DEGENERATE HOPF-BIFURCATION FROM MULTIPLE-EIGENVALUES AND STABILITY. 143(1), 275-320. Hagedorn, P., & Taliaferro, S. (1986). Some remarks on dynamic receptance, stiffness, and impedance of mechanical systems. Zeitschrift fuer Angewandte Mathematik und Physik. 37(1), 134-149. TALIAFERRO, S. D. (1984). BIFURCATION AT MULTIPLE-EIGENVALUES AND STABILITY OF BIFURCATING SOLUTIONS. Journal of Functional Analysis. 55(2), 247-275. TALIAFERRO, S. D. (1984). STABILITY AND BIFURCATION OF EQUILIBRIUM SOLUTIONS OF REACTION DIFFUSION-EQUATIONS ON AN INFINITE SPACE INTERVAL. Journal of Differential Equations. 54(1), 19-59. Buckmaster, J., Nachman, A., & Taliaferro, S. (1983). The fast-time instability of diffusion flames. Physica D : Non-linear phenomena. 9(3), 408-424. TALIAFERRO, S. D. (1981). ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF ''=PHI(T)F(Y). SIAM Journal on Mathematical Analysis. 12(6), 853-865. TALIAFERRO, S. D. (1981). STABILITY OF SOLUTIONS BIFURCATING FROM MULTIPLE-EIGENVALUES. Journal of Functional Analysis. 44(1), 24-49. TALIAFERRO, S. D. (1980). AN INVERSION OF THE LAGRANGE-DIRICHLET STABILITY THEOREM. Archive for Rational Mechanics and Analysis. 73(2), 183-190. TALIAFERRO, S. D. (1980). STABILITY FOR 2 DIMENSIONAL ANALYTIC POTENTIALS. Journal of Differential Equations. 35(2), 248-265. TALIAFERRO, S. D. (1980). ANGULAR VARIATION OF SOLUTIONS OF 2ND ORDER LINEAR-SYSTEMS. SIAM Journal on Mathematical Analysis. 11(1), 173-180. Taliaferro, S. D. (1979). A nonlinear singular boundary value problem. Nonlinear Analysis : Modelling and Control. 3(6), 897-904. TALIAFERRO, S. D. (1978). ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF Y'' = PH-(T) Y-LAMBDA. Journal of Mathematical Analysis and Applications. 66(1), 95-134. Taliaferro, S. (1978). On the positive solutions of y + (t) y = 0. Nonlinear Analysis : Modelling and Control. 2(4), 437-446. book Ghergu, M., & Taliaferro, S. D. (2016). Isolated Singularities in Partial Differential Inequalities. Cambridge University Press (CUP). conference paper Taliaferro, S. D., & Zhang, L. (2003). Arbitrarily large solutions of the conformal scalar curvature problem at an isolated singularity. Proceedings of the American Mathematical Society. 2895-2902.
education and training Ph.D. in Mathematics, Stanford University - (Stanford, California, United States) 1976 B.A. in Mathematics, San Diego State University - (San Diego, California, United States) 1971