Previous article Next article Pointwise Bounds for Solutions of Semilinear Parabolic EquationsVincent G. SigillitoVincent G. Sigillitohttps://doi.org/10.1137/1009081PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] F. J. Bellar, Jr., Pointwise bounds for the second initial-boundary value problem of parabolic type, Pacific J. Math., 19 (1966), 205–219 MR0206513 0152.30203 CrossrefISIGoogle Scholar[2] J. H. Bramble and , L. E. Payne, Bounds for solutions of second-order elliptic partial differential equations, Contributions to Differential Equations, 1 (1963), 95–127 MR0163049 0141.09801 Google Scholar[3] J. H. Bramble and , L. E. Payne, Some integral inequalities for uniformly elliptic operators, Contributions to Differential Equations, 1 (1963), 129–135 MR0163050 0141.09802 Google Scholar[4] Karl Gustafson, Stability inequalities for semimonotonically perturbed nonhomogeneous boundary problems, SIAM J. Appl. Math., 15 (1967), 368–391 10.1137/0115034 MR0216125 0152.11004 LinkISIGoogle Scholar[5] Karl Gustafson and , Vincent Sigillito, Inequalities for nonlocal parabolic and higher order elliptic equations, SIAM Rev., 9 (1967), 531–541 10.1137/1009073 MR0219865 0168.08403 LinkISIGoogle Scholar[6] V. G. Sigillito, Pointwise bounds for solutions of the first initial-boundary value problem for parabolic equations, SIAM J. Appl. Math., 14 (1966), 1038–1056 10.1137/0114084 MR0206515 0145.35802 LinkISIGoogle Scholar[7] V. G. Sigillito, On a continuous method of approximating solutions of the heat equation, TG-863, Applied Physics Laboratory, The Johns Hopkins University, Silver Spring, Maryland, 1966 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails A Least Square Solution and Error Estimate for some Vibration ProblemsZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 65, No. 1 | 1 Jan 1985 Cross Ref A review of least-squares methods for solving partial differential equationsInternational Journal for Numerical Methods in Engineering, Vol. 10, No. 5 | 1 Jan 1976 Cross Ref Chapter 11 Convergence and Error BoundsThe Method of Weighted Residuals and Variational Principles - With Application in Fluid Mechanics, Heat and Mass Transfer | 1 Jan 1972 Cross Ref Volume 9, Issue 3| 1967SIAM Review History Submitted:24 August 1966Published online:18 July 2006 InformationCopyright © 1967 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1009081Article page range:pp. 581-585ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics