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Nonlinear Stability in a Free Boundary Model of Active Locomotion. [PDF]

open access: yesArch Ration Mech Anal
Berlyand L, Safsten CA, Truskinovsky L.
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Corner Boundary Value Problems

Complex Analysis and Operator Theory, 2014
If the boundary of a manifold has singularities, e.g., conical points or edges, then when dealing with boundary value problems, one may be forced to work with pseudo-differential operators with corner degenerated symbols. In this paper, elements of the corresponding corner pseudo-differential calculus are studied.
Chang, Der-Chen   +2 more
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Elementary Boundary Value Problems

American Journal of Physics, 1966
The solution of a particular elementary boundary value problem is presented. A new set of orthogonal functions is needed. Their properties are discussed briefly. A comment is made about the number of independent solutions of a rth order equation in an n dimensional space. The number is rn and not r·n.
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The Boundary-value Problem

1992
The simplest frictionless contact problem of the class defined by equations (29.3–29.6) is that in which the contact area A is the circle 0 < r < a and the indenter is axisymmetric, in which case we have to determine a harmonic function φ(r, z) to satisfy the mixed boundary conditions $$\frac{{\partial \varphi }}{{\partial z}} = - \frac{\mu }{{(1 -
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ODE Boundary Value Problems

2011
This chapter deals with Newton methods for boundary value problems (BVPs) in nonlinear partial differential equations (PDEs). There are two principal approaches: (a) finite dimensional Newton methods applied to given systems of already discretized PDEs, also called discrete Newton methods, and (b) function space oriented inexact Newton methods directly
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