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Existence of stationary solutions for some nonlocal reaction-diffusion equations
- Source :
- Dynamics of Partial Differential Equations, Dynamics of Partial Differential Equations, International Press, 2015, ⟨10.4310/DPDE.2015.v12.n1.a3⟩, Dynamics of Partial Differential Equations, 2015, ⟨10.4310/DPDE.2015.v12.n1.a3⟩
- Publication Year :
- 2015
- Publisher :
- International Press of Boston, 2015.
-
Abstract
- International audience; The paper is devoted to the existence of solutions of a nonlocal reaction-diffusion equation arising in population dynamics. The proof is based on a fixed point technique. We use solvability conditions for elliptic operators in unbounded domains which do not satisfy the Fredholm property. CONTENTS
- Subjects :
- education.field_of_study
Property (philosophy)
Applied Mathematics
010102 general mathematics
Mathematical analysis
Population
MathematicsofComputing_NUMERICALANALYSIS
Fredholm integral equation
Fixed point
01 natural sciences
Fredholm theory
010101 applied mathematics
Sobolev space
symbols.namesake
Elliptic operator
Reaction–diffusion system
symbols
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
0101 mathematics
education
Analysis
Mathematics
Subjects
Details
- ISSN :
- 21637873 and 1548159X
- Volume :
- 12
- Database :
- OpenAIRE
- Journal :
- Dynamics of Partial Differential Equations
- Accession number :
- edsair.doi.dedup.....4167422c02470b52bfd7bdc3b03abf74