A priori estimates of higher order derivatives of solutions to the FitzHugh-Nagumo equations

DOI10.1016/0022-247X(81)90216-XzbMath0475.35009OpenAlexW2077664801MaRDI QIDQ1159807

Maria Elena Schonbek

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(81)90216-x

zbMATH Keywords

Dirichlet probleminitial value problema priori estimateNeumann problemgrowth conditionsFitzHugh-Nagumo equationsuniform boundscomparison functionsconduction of electrical impulses along a nerve axon

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Psychophysics and psychophysiology; perception (91E30)

Related Items (4)

Construction and analysis of some nonstandard finite difference methods for the <scp>FitzHugh–Nagumo</scp> equation ⋮ Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses ⋮ An analytical scheme on complete integrability of 2D biophysical excitable systems ⋮ Comparative Study of Some Numerical Methods for the Standard FitzHugh-Nagumo Equation

Cites Work

• Unnamed Item
• Qualitative theory of the Fitz Hugh-Nagumo equations
• Boundary value problems for the Fitzhugh-Nagumo equations
• Some Mathematical Problems from Neurobiology

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