A sequence of order relations: Encoding heteroclinic connections in scalar parabolic PDE (Q697858)
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scientific article; zbMATH DE number 1801914
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A sequence of order relations: Encoding heteroclinic connections in scalar parabolic PDE |
scientific article; zbMATH DE number 1801914 |
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A sequence of order relations: Encoding heteroclinic connections in scalar parabolic PDE (English)
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17 September 2002
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The paper studies the problem of heteroclinic connections in the attractor of dissipative semilinear parabolic PDE \[ u_t=u_{xx}+f(x,u,u_x),\qquad 0<x<1, \] on a bounded interval with Neumann boundary conditions. Introducing a sequence of order relations, a new and simple criterion is proved for the existence of heteroclinic connections using only information about nodal properties of solutions to the stationary ODE problem.
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Neumann boundary conditions
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order structures
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heteroclinic connections
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nodal properties
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