Results 31 to 40 of about 172,917 (327)

A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem [PDF]

, 2007
We consider a transmission wave equation in two embedded domains in $R^2$, where the speed is $a1 > 0$ in the inner domain and $a2 > 0$ in the outer domain. We prove a global Carleman inequality for this problem under the hypothesis that the inner domain
Albano P, Alberto Mercado, Axel Osses, Bellassoued M, Benabdallah A Gaitan P Le Rousseau J, Beylkin G, Bukhgeim A L, Bukhgeim A L, Bukhgeim A L, Carleman T, Dautray R, de Hoop M, Doubova A, Fu X, Fu X Yong J Zhang X, Gray A, Hansen S, Hörmander L, Imanuvilov O Yu, Imanuvilov O Yu, Isakov V, Klibanov M V, Klibanov M V, Klibanov M V, Komornik V, Lions J-L, Lions J-L, Lucie Baudouin, Macia F, Popov G, Popov G Vodev G, Puel J-P, Rakesh, Rakesh, Tataru D   +34 more
core   +3 more sources

VISCOSITY SOLUTIONS OF HAMILTON–JACOBI EQUATIONS WITH DISCONTINUOUS COEFFICIENTS [PDF]

Journal of Hyperbolic Differential Equations, 2007
We consider Hamilton–Jacobi equations, where the Hamiltonian depends discontinuously on both the spatial and temporal location. Our main result is the existence of viscosity solution to the Cauchy problem, and that the front tracking algorithm yields an L∞ contractive semigroup.
COCLITE, Giuseppe Maria, RISEBRO N. H.
openaire   +2 more sources

On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients

Advances in Nonlinear Analysis, 2019
In this paper, we consider a heat equation with diffusion coefficient that varies depending on the heterogeneity of the domain. We propose a spectral elements discretization of this problem with the mortar domain decomposition method on the space ...
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj   +1 more source

Logistic Dirichlet problems with discontinuous coefficients

Journal de Mathématiques Pures et Appliquées, 2003
The author studies existence of positive solutions to semilinear Dirichlet eigenvalue problems for diffusive logistic equations with discontinuous coefficients which model population dynamics in environments with spatial heterogeneity. Precisely, let \(\Omega\subset {\mathbb R}^N,\) \(N\geq3,\) be a bounded and \(C^{1,1}\)-smooth domain and ...
openaire   +1 more source

Explicit estimates for solutions of mixed elliptic problems [PDF]

, 2013
We deal with the existence of quantitative estimates for solutions of mixed problems to an elliptic second order equation in divergence form with discontinuous coefficient. Our concern is to estimate the solutions with explicit constants, for domains in $
Consiglieri, Luisa
core   +3 more sources

Dichotomies for systems with discontinuous coefficients [PDF]

Bulletin of the Australian Mathematical Society, 1992
In this work we are concerned with the problem of the existence of an exponential dichotomy for the linear singularly perturbed system εx′ = A(t)x, where the matrix A(t) is piecewise uniformly continuous, that is, A(t) admits points of discontinuity but is uniformly continuous in any interval where it is continuous.
openaire   +2 more sources

A Half-Inverse Problem for Impulsive Dirac Operator with Discontinuous Coefficient

Abstract and Applied Analysis, 2013
An inverse problem for Dirac differential operators with discontinuity conditions and discontinuous coefficient is studied. It is shown by Hochstadt and Lieberman's method that if the potential function in is prescribed over the interval , then a ...
Yalçın Güldü
doaj   +1 more source

Laser Powder Bed Fusion of Copper–Tungsten Composites for Heat Sink Applications in High‐Power Electronics

Advanced Engineering Materials, EarlyView.
This article demonstrates the successful qualification of a copper–tungsten composite for laser powder bed fusion. The resulting components exhibited high density, high thermal conductivity, and reduced thermal expansion. Heat sinks with complex geometries were successfully manufactured, clearly showcasing the material's potential for additive ...
Simon Rauh, Shashank Deepak Prabhu, Jannik Huber, Lioba Fischer, Gerhard Wolf, Nico Hempel, Peter Mayr   +6 more
wiley   +1 more source

Error estimates for an augmented method for one-dimensional elliptic interface problems

Advances in Difference Equations, 2018
Elliptic interface problems have many important scientific and engineering applications. Interface problems are encountered when the computational domain involves multi-materials with different conductivities, densities, or permeability.
Qian Zhang, Zhifeng Weng, Haifeng Ji, Bin Zhang   +3 more
doaj   +1 more source

Experimental study of distribution and quantitative characterization of discontinuous oil phase based on micro-CT

Frontiers in Earth Science, 2023
When a sandstone reservoir enters the ultra-high water cut stage, the oil phase changes from continuous to discontinuous, which results in difficulties in the further development and utilization of the reservoir.
Jiangshan Yang, Gaojun Shan, Zhiqiang Wang, Qi Zhang, Yongfei Yang, Wenjie Ma   +5 more
doaj   +1 more source