Title of article
Formal solutions of semilinear heat equations
Author/Authors
Grzegorz ?ysik، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
14
From page
372
To page
385
Abstract
We study formal power series solutions to the initial value problem for semilinear heat equation ∂tu − u = f (u) with polynomial
nonlinearity f and prove that they belong to the formal Gevrey class G2. Next we give counterexamples showing that the
solution, in general, is not analytic in time at t = 0.
© 2007 Elsevier Inc. All rights reserved.
Keywords
Semilinear heat equation , Formal solutions , Gevrey estimates , Nonanalyticity
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936878
Link To Document