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A free boundary problem of wave equation (Free Boundary Problems)
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Nonlinear Analysis: Theory, Methods & Applications, 1988
Unilaterale Probleme für nichtlineare elliptische Operatoren A-G werden betrachtet, wobei A ein linearer Operator (nicht in Divergenzform) und G ein Nemytskioperator mit quadratischem Wachstum im Gradienten ist.
M. G. Garroni, VIVALDI, Maria Agostina
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Unilaterale Probleme für nichtlineare elliptische Operatoren A-G werden betrachtet, wobei A ein linearer Operator (nicht in Divergenzform) und G ein Nemytskioperator mit quadratischem Wachstum im Gradienten ist.
M. G. Garroni, VIVALDI, Maria Agostina
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Mathematical Methods in the Applied Sciences, 1996
Summary: This paper considers a discontinuous semilinear elliptic problem: \[ - \Delta u= g(u)H(u-\mu) \quad \text{in } \Omega, \qquad u=h \text{ on } \partial \Omega, \] where \(H\) is the Heaviside function, \(\mu\) a real parameter and \(\Omega\) the unit ball in \(\mathbb{R}^2\). We deal with the existence of solutions under suitable conditions on \
Boucherif, Abdelkader +1 more
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Summary: This paper considers a discontinuous semilinear elliptic problem: \[ - \Delta u= g(u)H(u-\mu) \quad \text{in } \Omega, \qquad u=h \text{ on } \partial \Omega, \] where \(H\) is the Heaviside function, \(\mu\) a real parameter and \(\Omega\) the unit ball in \(\mathbb{R}^2\). We deal with the existence of solutions under suitable conditions on \
Boucherif, Abdelkader +1 more
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The Free Boundary of the Monotone Follower
SIAM Journal on Control and Optimization, 1994Summary: This paper identifies the free boundary arising in the two-dimensional monotone follower, cheap control problem. It proves that if a region of inaction \(\mathcal A\) is of locally finite perimeter (LFP), then \(\mathcal A\) can be replaced by a new region of inaction \(\widetilde{\mathcal A}\) whose boundary is locally \(C^ 1\) (up to sets of
Maria B. Chiarolla, Ulrich G. Haussmann
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SIAM Journal on Mathematical Analysis, 1974
Let $\mathcal{D}$ be a doubly connected region in the complex plane limited by the infinite point and a convex set $\Gamma $. If $\lambda > 0$, then we study the existence, uniqueness and geometry of annuli $\omega \subset \mathcal{D}$ having $\Gamma $ as one boundary component and another boundary component $\gamma $, such that there exists a harmonic
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Let $\mathcal{D}$ be a doubly connected region in the complex plane limited by the infinite point and a convex set $\Gamma $. If $\lambda > 0$, then we study the existence, uniqueness and geometry of annuli $\omega \subset \mathcal{D}$ having $\Gamma $ as one boundary component and another boundary component $\gamma $, such that there exists a harmonic
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The Boundary of Prefix-Free Languages
2015We investigate the boundary operation on the class of prefix-free regular languages. We show that if a prefix-free language is recognized by a deterministic finite automaton of n states, then its boundary is recognized by a deterministic automaton of at most \((n-1)\cdot 2^{n-4}+n+1\) states.
Jozef Jirásek 0001, Galina Jirásková
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Free-boundary high-beta tokamaks. I. Free-boundary equilibrium
The Physics of Fluids, 1982The free-boundary problem of a sharp-boundary high-β tokamak plasma inside a conducting shell is solved. This problem is reduced to solving Laplace’s equation on a domain with an unknown inner boundary. Centering this boundary with respect to the center of the shell is effected by means of a Moebius transformation which facilitates the use of the fast ...
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Free Boundary Problem of Magnetohydrodynamics
Journal of Mathematical Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convection-free boundary sedimentation
Analytical Biochemistry, 1972Abstract A simple technique is described that prevents the occurrence of convective flows in boundary sedimentation experiments. Superimposed density gradients employed as in band centrifugation are evaluated quantitatively. The usefulness of the method is demonstrated by comparison of stabilized and nonstabilized experiments run under identical ...
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A Free Boundary Optimization Problem
SIAM Journal on Mathematical Analysis, 1978Given a convex set $Q \subset R^2 $ (bounded by a simple closed curve) and a constant $A > 0$, we determine the doubly-connected region $\Omega $ encircling (but not intersecting) Q, with area $| \Omega | \leqq A$, which has the least capacitance.
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