On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range

Comptes Rendus Mathematique ◽

10.1016/s1631-073x(02)02567-0 ◽

2002 ◽

Vol 335 (10) ◽

pp. 805-810 ◽

Author(s):

Yu.V. Egorov ◽

V.A. Galaktionov ◽

V.A. Kondratiev ◽

S.I. Pohozaev

Keyword(s):

Parabolic Equations ◽

Global Solutions ◽

Higher Order ◽

Semilinear Parabolic Equations ◽

Supercritical Range ◽

Semilinear Parabolic

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On Interfaces and Oscillatory Solutions of Higher-Order Semilinear Parabolic Equations with Non-Lipschitz Nonlinearities

Studies in Applied Mathematics ◽

10.1111/j.1467-9590.2006.00359.x ◽

2006 ◽

Vol 117 (4) ◽

pp. 353-389 ◽

Author(s):

V. A. Galaktionov

Keyword(s):

Parabolic Equations ◽

Higher Order ◽

Semilinear Parabolic Equations ◽

Oscillatory Solutions ◽

Semilinear Parabolic

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On the Boundedness of Global Solutions of Abstract Semilinear Parabolic Equations

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5696 ◽

1997 ◽

Vol 216 (2) ◽

pp. 654-666 ◽

Author(s):

Marek Fila ◽

Howard A. Levine

Keyword(s):

Parabolic Equations ◽

Global Solutions ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Existence and blow-up for higher-order semilinear parabolic equations: Majorizing order-preserving operators

Indiana University Mathematics Journal ◽

10.1512/iumj.2002.51.2131 ◽

2002 ◽

Vol 51 (6) ◽

pp. 1321-1338 ◽

Author(s):

V. A. Galaktionov ◽

S. I. Pohozaev

Keyword(s):

Parabolic Equations ◽

Blow Up ◽

Higher Order ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Local solvability of higher order semilinear parabolic equations

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1381413724 ◽

1992 ◽

Vol 21 (3) ◽

pp. 491-508

Author(s):

Jan W. CHOLEWA

Keyword(s):

Parabolic Equations ◽

Local Solvability ◽

Higher Order ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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On higher-order semilinear parabolic equations with measures as initial data

Journal of the European Mathematical Society ◽

10.4171/jems/8 ◽

2004 ◽

pp. 193-205 ◽

Author(s):

Victor Galaktionov

Keyword(s):

Initial Data ◽

Parabolic Equations ◽

Higher Order ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Global solutions and self-similar solutions of semilinear parabolic equations with nonlinear gradient terms

Nonlinear Analysis ◽

10.1016/j.na.2009.11.020 ◽

2010 ◽

Vol 72 (6) ◽

pp. 2744-2752 ◽

Author(s):

Qingshan Zhang ◽

Peihu Shi

Keyword(s):

Parabolic Equations ◽

Global Solutions ◽

Semilinear Parabolic Equations ◽

Self Similar ◽

Similar Solutions ◽

Semilinear Parabolic

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Global solutions of abstract semilinear parabolic equations with memory terms

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-003-1004-2 ◽

2003 ◽

Vol 10 (4) ◽

pp. 399-430 ◽

Author(s):

Piermarco Cannarsa ◽

Daniela Sforza

Keyword(s):

Parabolic Equations ◽

Global Solutions ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic ◽

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Blow-up rates for higher-order semilinear parabolic equations and systems and some Fujita-type theorems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.06.061 ◽

2008 ◽

Vol 339 (1) ◽

pp. 248-258 ◽

Author(s):

Hongjing Pan ◽

Ruixiang Xing

Keyword(s):

Parabolic Equations ◽

Blow Up ◽

Higher Order ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations

SIAM Journal on Applied Mathematics ◽

10.1137/s003613990241552x ◽

2004 ◽

Vol 64 (5) ◽

pp. 1775-1809 ◽

Author(s):

C. J. Budd ◽

J. F. Williams ◽

V. A. Galaktionov

Keyword(s):

Parabolic Equations ◽

Blow Up ◽

Higher Order ◽

Semilinear Parabolic Equations ◽

Self Similar ◽

Semilinear Parabolic

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Finite time blow-up and global solutions for a class of semilinear parabolic equations at high energy level

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.07.025 ◽

2012 ◽

Vol 13 (1) ◽

pp. 197-202 ◽

Author(s):

Runzhang Xu ◽

Xiuying Cao ◽

Tao Yu

Keyword(s):

Energy Level ◽

Parabolic Equations ◽

Finite Time ◽

Blow Up ◽

Global Solutions ◽

High Energy ◽

Semilinear Parabolic Equations ◽

High Energy Level ◽

Semilinear Parabolic

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