Fw: new_abstracts 22 289
0 views
Skip to first unread message
Maria Odete Madeira
Oct 29, 2022, 10:12:17 AM10/29/22
to 'Maria Odete Madeira' via Filosofia Matemática Conhecimento, 'Maria Odete Madeira' via Filosofia Teoria dos Sistemas e Ciência do Risco, Filosofia-matematica-cosmologia, Filosofia-individuos-sociedade
----- Forwarded Message -----
From: Mathematical Physics Preprint Archive <mp_...@math.utexas.edu>
Sent: Sunday, October 16, 2022 at 07:02:29 AM GMT+1
Subject: new_abstracts 22 289
Note: this address does not accept emails
NEW ABSTRACTS (Oct 6 to Oct 13)
==================== 22-54 ====================
Messoud Efendiev, Vitali Vougalter
On the solvability of some systems of integro-differential equations with transport and concentrated sources
(176K, pdf)
ABSTRACT. The article is devoted to the existence of solutions of a system of integro-differential equations involving the drift terms in the case of
the normal diffusion and the influx/efflux terms proportional to the Dirac delta function. The proof of the existence of solutions is based on a fixed point technique. We use the solvability conditions for the non-Fredholm elliptic operators in unbounded domains. We emphasize that the study of the systems is more difficult than of the scalar case and requires to overcome more cumbersome technicalities.
==================== 22-55 ====================
Gianni Arioli, Hans Koch
Validated numerical solutions for a semilinear elliptic equation
on some topological annuli in the plane
(6421K, pdf)
ABSTRACT. We consider the equation -Laplace w = w^3 with zero boundary conditions
on planar domains that are conformal images of annuli.
Starting with an approximate solution,
we prove that there exist a true solution nearby.
Our approach is computer-assisted.
It involves simultaneous and accurate control of
the (inverse) Dirichlet Laplacean, nonlinearities, and conformal mappings.
Reply all
Reply to author
Forward
0 new messages