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Pointwise bounds for the solution of a nonlinear problem in cell membrane theory

✍ Scribed by A.M. Arthurs; W.M. Arthurs

Publisher
Springer
Year
1983
Tongue
English
Weight
409 KB
Volume
45
Category
Article
ISSN
1522-9602

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✦ Synopsis

Pointwise upper and lower bounds for the solution of a class of nonlinear problems arising in the steady-state finite cable model of cell membranes are presented. Simple analytical bounding curves are obtained for an illustrative example in the theory of nerve membranes.

πŸ“œ SIMILAR VOLUMES

A Pointwise Lower Bound for Positive Sol
A Pointwise Lower Bound for Positive Solutions of a SchrΓΆdinger Equation in RN
✍ BΓ©nΓ©dicte Alziary; Peter TakÑč πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 734 KB

Strong positivity of the bounded inverse (&A) &1 of a Schro dinger operator &A=&2+q(x) v in L 2 (R N ) is proved in the following form: If &Au=f 0 in L 2 (R N ) with f 0, then u c. 1 a.e. in R N . Here, . 1 is the positive eigenfunction associated with the principal eigenvalue \* 1 of &A, and c is a