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 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. 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. D. Taliaferro, S. (2017). Initial Pointwise Bounds and Blow-up for Parabolic Choquard-Pekar Inequalities. 37(10), 5211-5252. Ghergu, M., & Taliaferro, S. D. (2016). Pointwise bounds and blow-up for ChoquardPekar 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. Ghergu, M., Moradifam, A., & Taliaferro, S. D. (2011). Isolated singularities of polyharmonic inequalities. Journal of Functional Analysis. 261(3), 660-680. Taliaferro, S. D. (2011). Initial blow-up of solutions of semilinear parabolic inequalities. Journal of Differential Equations. 250(2), 892-928. Taliaferro, S. (2009). Blow-up of solutions of nonlinear parabolic inequalities. Transactions of the American Mathematical Society. 361(6), 3289-3302. 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. (2006). Isolated singularities of nonlinear elliptic inequalities II. Asymptotic behavior of solutions. INDIANA UNIVERSITY MATHEMATICS JOURNAL. 55(6), 1791-1812. Taliaferro, S. D. (2005). Existence of large singular solutions of conformal scalar curvature equations in Sn. Journal of Functional Analysis. 224(1), 192-216. Taliaferro, S. D. (2002). Local behavior and global existence of positive solutions of auuu. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 19(6), 889-901. 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. (2001). Isolated singularities of nonlinear elliptic inequalities. INDIANA UNIVERSITY MATHEMATICS JOURNAL. 50(4), 1885-1898. 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. (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. Annali di Matematica Pura ed Applicata. 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). Stability and bifurcation of equilibrium solutions of reaction-diffusion equations on an infinite space interval. Journal of Differential Equations. 54(1), 19-59. Taliaferro, S. D. (1984). Bifurcation at multiple eigenvalues and stability of bifurcating solutions. Journal of Functional Analysis. 55(2), 247-275. Buckmaster, J., Nachman, A., & Taliaferro, S. (1983). The fast-time instability of diffusion flames. Physica D Nonlinear Phenomena. 9(3), 408-424. Taliaferro, S. D. (1981). Asymptotic Behavior of Solutions of $y'' = phi (t)f(y)$. 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 two dimensional analytic potentials. Journal of Differential Equations. 35(2), 248-265. Taliaferro, S. D. (1980). On the Angular Variation of Solutions of Second Order Linear Systems. SIAM Journal on Mathematical Analysis. 11(1), 173-180. Taliaferro, S. D. (1979). A nonlinear singular boundary value problem. Nonlinear Analysis Theory Methods and Applications. 3(6), 897-904. Taliaferro, S. D. (1978). Asymptotic behavior of solutions of y = (t) y. Journal of Mathematical Analysis and Applications. 66(1), 95-134. Taliaferro, S. (1978). On the positive solutions of y + (t) y = 0. Nonlinear Analysis Theory Methods and Applications. 2(4), 437-446. book Ghergu, M., & Taliaferro, S. D. (2016). Isolated Singularities in Partial Differential Inequalities. Cambridge University Press. 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