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, no. 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, no. 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, no. 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, no. 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, no. 2, 2023, 126625  crossref
  6. Lucas Ferreira, Vanderley Ferreira Jr., “On the eventual local positivity for polyharmonic heat equations”, Proc. Amer. Math. Soc., 147, no. 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, no. 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, no. 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, no. 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, no. 5, 2004, 1775  crossref
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