Howard, Peter Professor

academic article

• Howard, P., Jung, S., & Kwon, B. (2018). The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on [0, 1]. Journal of Dynamics and Differential Equations.  30(4), 1703-1729.
  
• Howard, P., & Jung, S. (2018). Corrigendum to Spectral analysis of -periodic Schrodinger operators and applications to periodic waves [J. Differ. Equ. 264 (3) (2018) 22052241]. Journal of Differential Equations.  264(9), 6012-6012.
  
• Howard, P., & Jung, S. (2018). Spectral analysis of -periodic Schrdinger operators and applications to periodic waves. Journal of Differential Equations.  264(3), 2205-2241.
  
• Howard, P., Latushkin, Y., & Sukhtayev, A. (2018). The Maslov and Morse Indices for System Schrodinger Operators on R. INDIANA UNIVERSITY MATHEMATICS JOURNAL.  67(5), 1765-1815.
  
• Howard, P. (2017). Linear Stability for Transition Front Solutions in Multidimensional CahnHilliard Systems. 29(3), 895-955.
  
• Howard, P., Latushkin, Y., & Sukhtayev, A. (2017). The Maslov index for Lagrangian pairs on R²ⁿ. Journal of Mathematical Analysis and Applications.  451(2), 794-821.
  
• Howard, P. (2016). Stability of Transition Front Solutions in Multidimensional CahnHilliard Systems. 26(3), 619-661.
  
• Howard, P., & Sukhtayev, A. (2016). The Maslov and Morse indices for Schrodinger operators on [0,1]. Journal of Differential Equations.  260(5), 4499-4549.
  
• Howard, P. (2015). Short-time existence theory toward stability for nonlinear parabolic systems. 15(2), 403-456.
  
• Howard, P. (2014). Spectral analysis for transition front solutions in multidimensional CahnHilliard systems. Journal of Differential Equations.  257(9), 3448-3465.
  
• Howard, P., & Kwon, B. (2012). Asymptotic Lp stability for transition fronts in CahnHilliard systems. Journal of Differential Equations.  252(10), 5814-5831.
  
• Howard, P., & Kwon, B. (2012). Asymptotic stability analysis for transition front solutions in CahnHilliard systems. Physica D : Non-linear phenomena.  241(14), 1193-1222.
  
• Howard, P., & Kwon, B. (2012). Spectral analysis for transition front solutions in Cahn-Hilliard systems. Discrete and Continuous Dynamical Systems Series A.  32(1), 125-166.
  
• Howard, P. (2011). Spectral analysis for periodic solutions of the CahnHilliard equation on. 18(1), 1-26.
  
• Howard, P. (2010). Spectral Analysis for Stationary Solutions of the CahnHilliard Equation in d. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS.  35(4), 590-612.
  
• Howard, P. (2009). Spectral analysis of stationary solutions of the cahn-hilliard equation. ADVANCES IN DIFFERENTIAL EQUATIONS.  14(1-2), 87-120.
  
• Howard, P. (2008). Spectral analysis of planar transition fronts for the CahnHilliard equation. Journal of Differential Equations.  245(3), 594-615.
  
• Howard, P. (2007). Asymptotic Behavior Near Transition Fronts for Equations of Generalized CahnHilliard Form. 269(3), 765-808.
  
• Howard, P. (2007). Asymptotic behavior near planar transition fronts for the CahnHilliard equation. Physica D : Non-linear phenomena.  229(2), 123-165.
  
• Howard, P., & Raoofi, M. (2006). Pointwise asymptotic behavior of perturbed viscous shock profiles. ADVANCES IN DIFFERENTIAL EQUATIONS.  11(9), 1031-1080.
  
• Howard, P., & Hu, C. (2006). Nonlinear Stability for Multidimensional Fourth-Order Shock Fronts. 181(2), 201-260.
  
• Howard, P. (2006). Pointwise Green's Function Estimates Toward Stability for Degenerate Viscous Shock Waves. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS.  31(1), 73-121.
  
• HOWARD, P., RAOOFI, M., & ZUMBRUN, K. (2006). SHARP POINTWISE BOUNDS FOR PERTURBED VISCOUS SHOCK WAVES. Journal of Hyperbolic Differential Equations.  3(02), 297-373.
  
• Howard, P., & Zumbrun, K. (2006). Stability of undercompressive shock profiles. Journal of Differential Equations.  225(1), 308-360.
  
• Howard, P., & Hu, C. (2005). Pointwise Green's function estimates toward stability for multidimensional fourth-order viscous shock fronts. Journal of Differential Equations.  218(2), 325-389.
  
• Howard, P., & Zumbrun, K. (2004). The Evans function and stability criteria for degenerate viscous shock waves. 10(4), 837-855.
  
• Zumbrun, K., & Howard, P. (2002). Errata to: 'Pointwise semigroup methods and stability of viscous shock waves'. INDIANA UNIVERSITY MATHEMATICS JOURNAL.  51(4), 1017-1022.
  
• Howard, P. (2002). Pointwise estimates and stability for degenerate viscous shock waves. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal.  19-65.
  
• Howard, P. (2002). Local tracking and stability for degenerate viscous shock waves. Journal of Differential Equations.  186(2), 440-469.
  
• Howard, P., & Zumbrun, K. (2000). Pointwise Estimates and Stability for DispersiveDiffusive Shock Waves. Archive for Rational Mechanics and Analysis.  155(2), 85-169.
  
• Howard, P. (1999). Pointwise Green's function approach to stability for scalar conservation laws. 52(10), 1295-1313.
  
• Howard, P. (1999). Pointwise Estimates on the Green's Function for a Scalar Linear ConvectionDiffusion Equation. Journal of Differential Equations.  155(2), 327-367.
  
• Howard, P., & Zumbrun, K. (1999). Shift invariance of the occupation time of the Brownian bridge process. Statistics and Probability Letters.  45(4), 379-382.
  
• Zumbrun, K., & Howard, P. (1998). Pointwise Semigroup Methods and Stability of Viscous Shock Waves. INDIANA UNIVERSITY MATHEMATICS JOURNAL.  47(3), 741-871.