Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1052.35085
Cannarsa, Piermarco; Sforza, Daniela
Global solutions of abstract semilinear parabolic equations with memory terms. (English)
[J] NoDEA, Nonlinear Differ. Equ. Appl. 10, No. 4, 399-430 (2003). ISSN 1021-9722; ISSN 1420-9004/e

This paper concerns the existence of global solutions to semilinear integrodifferential equations in Hilbert spaces for general convolution kernels and nonliner terms with superlinear growth at infinity. The obtained results are used in order to prove the existence of a global solution to a nonlinear model of heat flow in materials of fading memory.
[Sebastian Anita (Iaşi)]

MSC 2000:: *35K55 Nonlinear parabolic equations
45K05 Integro-partial differential equations

Keywords: integral equations; Fourier sine transform; maximal regularity; iterated logarithms; materials with memory

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]