scholarly journals Asymptotic Behaviour of a Viscoelastic Transmission Problem with a Tip Load

2021 ◽  
Author(s):  
Míriam S. Carneiro ◽  
Marco A. A. Fernandes ◽  
Jaime E. Muñoz Rivera
Keyword(s):  
Asymptotic Behaviour ◽  
Transmission Problem

scholarly journals Semilinear Evolution Problems with Ventcel-Type Conditions on Fractal Boundaries

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Maria Rosaria Lancia ◽  
Paola Vernole
Keyword(s):  
Boundary Conditions ◽  
Asymptotic Behaviour ◽  
Transmission Problem ◽  
Evolution Problems ◽  
Regularity Results ◽  
Semilinear Parabolic

A semilinear parabolic transmission problem with Ventcel's boundary conditions on a fractal interface S or the corresponding prefractal interface Sh is studied. Regularity results for the solution in both cases are proved. The asymptotic behaviour of the solutions of the approximating problems to the solution of limit fractal problem is analyzed.

Asymptotic behaviour and exponential stability for a transmission problem in thermoelasticity

2002 ◽  
Vol 25 (11) ◽  
pp. 955-980 ◽  
Author(s):  
Alfredo Marzocchi ◽  
Jaime E. Mu??oz Rivera ◽  
Maria Grazia Naso
Keyword(s):  
Exponential Stability ◽  
Asymptotic Behaviour ◽  
Transmission Problem

Asymptotic behaviour of sample weighted circuits representing recurrent Markov chains

1990 ◽  
Vol 27 (03) ◽  
pp. 545-556 ◽  
Author(s):  
S. Kalpazidou
Keyword(s):  
Markov Chain ◽  
Markov Chains ◽  
Asymptotic Behaviour ◽  
Probabilistic Interpretation ◽  
Stationary Markov Chain

The asymptotic behaviour of the sequence (𝒞 n (ω), wc,n (ω)/n), is studied where 𝒞 n (ω) is the class of all cycles c occurring along the trajectory ωof a recurrent strictly stationary Markov chain (ξ n ) until time n and wc,n (ω) is the number of occurrences of the cycle c until time n. The previous sequence of sample weighted classes converges almost surely to a class of directed weighted cycles (𝒞∞, ω c ) which represents uniquely the chain (ξ n ) as a circuit chain, and ω c is given a probabilistic interpretation.

Entropy numbers of embedding maps between Besov spaces with an application to eigenvalue problems

1981 ◽  
Vol 90 (1-2) ◽  
pp. 63-70 ◽  
Author(s):  
Bernd Carl
Keyword(s):  
Banach Space ◽  
Asymptotic Behaviour ◽  
Besov Spaces ◽  
Eigenvalue Problems ◽  
Function Spaces ◽  
Sequence Spaces ◽  
Entropy Numbers ◽  
Diagonal Operators

SynopsisIn this paper we determine the asymptotic behaviour of entropy numbers of embedding maps between Besov sequence spaces and Besov function spaces. The results extend those of M. Š. Birman, M. Z. Solomjak and H. Triebel originally formulated in the language of ε-entropy. It turns out that the characterization of embedding maps between Besov spaces by entropy numbers can be reduced to the characterization of certain diagonal operators by their entropy numbers.Finally, the entropy numbers are applied to the study of eigenvalues of operators acting on a Banach space which admit a factorization through embedding maps between Besov spaces.The statements of this paper are obtained by results recently proved elsewhere by the author.

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