Publications related to Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Localized Orthogonal Decomposition Techniques For Boundary Value Problems

In this paper we propose a local orthogonal decomposition method (LOD) for elliptic partial differential equations with inhomogeneous Dirichlet and Neumann boundary conditions. For this purpose, we present new boundary correctors which preserve the common ...

Siam Publications2014

Optimal expulsion and optimal confinement of a Brownian particle with a switching cost

Robert Dalang, Laura Vinckenbosch

We solve two stochastic control problems in which a player tries to minimize or maximize the exit time from an interval of a Brownian particle, by controlling its drift. The player can change from one drift to another but is subject to a switching cost. In ...

Elsevier Science Bv2014

Phase Retrieval by Using Transport-of-Intensity Equation and Differential Interference Contrast Microscopy

Michaël Unser, Daniel Sage, Benjamin Rappaz, Emrah Bostan, Emmanuel Augustin Julien Froustey

We present a variational reconstruction algorithm for the phase-retrieval problem by using the differential interference contrast microscopy. Principally, we rely on the transport-of-intensity equation that specifies the sought phase as the solution of a p ...

IEEE2014

Interface control domain decomposition methods for heterogeneous problems

Alfio Quarteroni, Marco Discacciati

This paper is concerned with the solution of heterogeneous problems by the interface control domain decomposition (ICDD) method, a strategy introduced for the solution of partial differential equations in computational domains partitioned into subdomains t ...

Wiley-Blackwell2014

Computing Extremal Points Of Symplectic Pseudospectra And Solving Symplectic Matrix Nearness Problems

Daniel Kressner

We study differential equations that lead to extremal points in symplectic pseudospectra. In a two-level approach, where on the inner level we compute extremizers of the symplectic epsilon-pseudospectrum for a given epsilon and on the outer level we optimi ...

Siam Publications2014

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Joachim Krieger

For the radial energy-supercritical nonlinear wave equation

\Box u = -u_{tt} + \triangle u = \pm u^7

on

\R^{3+1}

, we prove the existence of a class of global in forward time

C^\infty

-smooth solutions with infinite critical Sobolev norm $\dot{H}^{\f ...

Springer Verlag2014

Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

Joachim Krieger, Roland Donninger, Min Huang

For the critical focusing wave equation

\Box u = u^5

on

\mathbb{R}^{3+1}

in the radial case, we construct a family of blowup solutions which are obtained from the stationary solutions

W(r)

by means of a dynamical rescaling $\lambda(t)\frac{1}{2}W(\la ...

Michigan Mathematical Journal2014

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Benoit Till Cretegny

Identification of kinetic models and estimation of reaction and mass-transfer parameters can be performed using the extent-based identification method, whereby each chemical/physical process is treated individually. This method is used here to analyze gas- ...

2013

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan, Benoit Till Cretegny

Identification of kinetic models and estimation of reaction and mass-transfer parameters can be performed using the extent-based identification method, whereby each chemical/physical process is handled separately [1-3]. This method is used here to analyze ...

2013

Incremental Model Identification of Fluid-Fluid Reaction Systems – Dynamic Accumulation and Reactions in the Diffusion Layer

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan

The identification of kinetic models is an important step for the monitoring, control and optimization of industrial processes. This is particularly the case for highly competitive business sectors such as chemical and pharmaceutical industries, where the ...

2013

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

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Localized Orthogonal Decomposition Techniques For Boundary Value Problems

Optimal expulsion and optimal confinement of a Brownian particle with a switching cost

Phase Retrieval by Using Transport-of-Intensity Equation and Differential Interference Contrast Microscopy

Interface control domain decomposition methods for heterogeneous problems

Computing Extremal Points Of Symplectic Pseudospectra And Solving Symplectic Matrix Nearness Problems

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Incremental Model Identification of Fluid-Fluid Reaction Systems – Dynamic Accumulation and Reactions in the Diffusion Layer

Localized Orthogonal Decomposition Techniques For Boundary Value Problems

Optimal expulsion and optimal confinement of a Brownian particle with a switching cost

Incremental Model Identification of Fluid-Fluid Reaction Systems – Dynamic Accumulation and Reactions in the Diffusion Layer

Interface control domain decomposition methods for heterogeneous problems

Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$

Computing Extremal Points Of Symplectic Pseudospectra And Solving Symplectic Matrix Nearness Problems

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Phase Retrieval by Using Transport-of-Intensity Equation and Differential Interference Contrast Microscopy

Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion