Nonlocal Symmetries in Nonlinear Heat Equations

1996 ◽  
pp. 75-99
Author(s):  
V. V. Pukhnachov
Keyword(s):  
Heat Equations ◽  
Nonlocal Symmetries ◽  
Nonlinear Heat Equations

scholarly journals On linear and nonlinear heat equations in degenerating domains

2017 ◽  
Author(s):  
M. Jenaliyev ◽  
M. Ramazanov ◽  
M. Yergaliyev
Keyword(s):  
Heat Equations ◽  
Nonlinear Heat Equations ◽  
Linear And Nonlinear

scholarly journals Blow-up of solutions of nonlinear heat equations

1988 ◽  
Vol 129 (2) ◽  
pp. 409-419 ◽  
Author(s):  
Luis A. Caffarrelli ◽  
Avner Friedman
Keyword(s):  
Blow Up ◽  
Heat Equations ◽  
Nonlinear Heat Equations

Sharp convolution and multiplication estimates in weighted spaces

2015 ◽  
Vol 13 (05) ◽  
pp. 457-480 ◽  
Author(s):  
Joachim Toft ◽  
Karoline Johansson ◽  
Stevan Pilipović ◽  
Nenad Teofanov
Keyword(s):  
Differential Equations ◽  
Stokes Equations ◽  
Weighted Spaces ◽  
Modulation Spaces ◽  
Local Analysis ◽  
Navier Stokes ◽  
Heat Equations ◽  
Navier Stokes Equations ◽  
Nonlinear Heat Equations ◽  
Hyperbolic Differential Equations

We establish sharp convolution and multiplication estimates in weighted Lebesgue, Fourier Lebesgue and modulation spaces. We cover, especially some results in [L. Hörmander, Lectures on Nonlinear Hyperbolic Differential Equations (Springer, Berlin, 1997); S. Pilipović, N. Teofanov and J. Toft, Micro-local analysis in Fourier Lebesgue and modulation spaces, II, J. Pseudo-Differ. Oper. Appl.1 (2010) 341–376]. The results are also related to some results by Iwabuchi in [T. Iwabuchi, Navier–Stokes equations and nonlinear heat equations in modulation spaces with negative derivative indices, J. Differential Equations248 (2010) 1972–2002].

The Flux Model of the Movement of Tumor Cells and Healthy Cells Using a System of Nonlinear Heat Equations

2011 ◽  
Vol 18 (12) ◽  
pp. 1831-1839 ◽  
Author(s):  
Meng-Rong Li ◽  
Yu-Ju Lin ◽  
Tzong-Hann Shieh
Keyword(s):  
Tumor Cells ◽  
Heat Equations ◽  
Nonlinear Heat Equations ◽  
Flux Model

ASYMPTOTICS FOR FRACTIONAL NONLINEAR HEAT EQUATIONS

2005 ◽  
Vol 72 (03) ◽  
pp. 663-688 ◽  
Author(s):  
NAKAO HAYASHI ◽  
ELENA I. KAIKINA ◽  
PAVEL I. NAUMKIN
Keyword(s):  
Heat Equations ◽  
Nonlinear Heat Equations

scholarly journals Symmetry reductions and exact solutions of a class of nonlinear heat equations

1994 ◽  
Vol 70 (3) ◽  
pp. 250-288 ◽  
Author(s):  
Peter A. Clarksonz ◽  
Elizabeth L. Mansfield
Keyword(s):  
Exact Solutions ◽  
Heat Equations ◽  
Symmetry Reductions ◽  
Nonlinear Heat Equations
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