68 citations to 10.1512/iumj.2002.51.2131 (Crossref Cited-By Service)
  1. Fuqin Sun, Peihu Shi, “Global existence and non-existence for a higher-order parabolic equation with time-fractional term”, Nonlinear Analysis: Theory, Methods & Applications, 75, № 10, 2012, 4145  crossref
  2. Jun Zhou, “Blow-up of solutions to a fourth-order parabolic equation with/without p-Laplician and general nonlinearity modeling epitaxial growth”, Anal.Math.Phys., 11, № 3, 2021, 128  crossref
  3. V. A. Galaktionov, “On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach”, Nonlinear Differ. Equ. Appl., 16, № 5, 2009, 597  crossref
  4. Alan E. Lindsay, “An asymptotic study of blow up multiplicity in fourth order parabolic partial differential equations”, Discrete & Continuous Dynamical Systems - B, 19, № 1, 2014, 189  crossref
  5. Junyong Eom, “Large time behavior of ODE type solutions to higher-order semilinear parabolic equations with small initial data”, Journal of Mathematical Analysis and Applications, 517, № 2, 2023, 126625  crossref
  6. Lucas Ferreira, Vanderley Ferreira Jr., “On the eventual local positivity for polyharmonic heat equations”, Proc. Amer. Math. Soc., 147, № 10, 2019, 4329  crossref
  7. Huiling Niu, Abdoulaye Ali Youssouf, Binhua Feng, “On Blow-Up Solutions for the Fourth-Order Nonlinear Schrödinger Equation with Mixed Dispersions”, Axioms, 13, № 3, 2024, 191  crossref
  8. V. A. Galaktionov, S. I. Pohozaev, “Third-order nonlinear dispersive equations: Shocks, rarefaction, and blowup waves”, Comput. Math. and Math. Phys., 48, № 10, 2008, 1784  crossref
  9. Kazuhiro Ishige, Tatsuki Kawakami, Kanako Kobayashi, “Global solutions for a nonlinear integral equation with a generalized heat kernel”, Discrete & Continuous Dynamical Systems - S, 7, № 4, 2014, 767  crossref
  10. C. J. Budd, J. F. Williams, V. A. Galaktionov, “Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations”, SIAM J. Appl. Math., 64, № 5, 2004, 1775  crossref
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