Publications related to Slow Blow up solutions for certain critical wave equations

Improving Spatial Data Processing by Clipping Minimum Bounding Boxes

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The majority of spatial processing techniques rely heavily on the idea of approximating each group of spatial objects by their minimum bounding box (MBB). As each MBB is compact to store (requiring only two multi-dimensional points) and intersection tests ...

IEEE2018

ON A GENERALIZATION OF THE POINCARE LEMMA TO EQUATIONS OF THE TYPE dw plus a Lambda w = f

David Valentin Strütt

We study the system of linear partial differential equations given by dw + a Lambda w = f, on open subsets of R-n, together with the algebraic equation da Lambda u = beta, where a is a given 1-form, f is a given (k + 1)-form, beta is a given k + 2-form, w ...

2018

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

Jean-Philippe Lucien Montillet

Families of energy operators and generalized energy operators have recently been introduced in the definition of the solutions of linear Partial Differential Equations (PDEs) with a particular application to the wave equation [ 15]. To do so, the author ha ...

Int Center Scientific Research & Studies2017

Stochastic partial differential equations driven by Lévy white noises

Thomas Marie Jean-Baptiste Humeau

We study various aspects of stochastic partial differential equations driven by Lévy white noise. This driving noise, which is a generalization of Gaussian white noise, can be viewed either as a generalized random process or as an independently scattered r ...

EPFL2017

A Class Of Large Global Solutions For The Wave-Map Equation

Joachim Krieger, Elisabetta Chiodaroli

In this paper we consider the equation for equivariant wave maps from R3+1 to S-3 and we prove global in forward time existence of certain C-infinity-smooth solutions which have infinite critical Sobolev norm (H) overdot(3/4) (R-3) x (H) overdot(1/2) (R-3) ...

2017

YONA FRIEDMAN. THE DILUTION OF ARCHITECTURE

Yona Friedman is recognized as one of the most eminent proponents of 1960s avant-garde urbanism. His best-known work is the concept for a Spatial City (“La Ville Spatiale”, 1956), in which he aimed to provide maximum flexibility through “megastructures” ov ...

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Optimal Isotropic Wavelets for Localized Tight Frame Representations

Michaël Unser, John Paul Ward, Pedram Pad

In this letter, we aim to identify the optimal isotropic mother wavelet for a given spatial dimension based on a localization criterion. Within the framework of the calculus of variations, we specify an Euler-Lagrange equation for this problem, and we find ...

IEEE2015

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Jacques Lévy

Cultural Recebido em 18 de junho de 2015 Aprovado em 19 de junho de 2015 geography proposes an apparently innovative project but it actually raises a dual epistemo- logical issue. First of all, is it a new field inside geography or a school of thought that ...

2015

The vestibular system: a spatial reference for bodily self-consciousness

Olaf Blanke, Andrea Serino, Christian Pfeiffer

Self-consciousness is the remarkable human experience of being a subject: the “I”. Self- consciousness is typically bound to a body, and particularly to the spatial dimensions of the body, as well as to its location and displacement in the gravitational fi ...

Frontiers Research Foundation2014

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

Slow Blow up solutions for certain critical wave equations

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Improving Spatial Data Processing by Clipping Minimum Bounding Boxes

ON A GENERALIZATION OF THE POINCARE LEMMA TO EQUATIONS OF THE TYPE dw plus a Lambda w = f

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

Stochastic partial differential equations driven by Lévy white noises

A Class Of Large Global Solutions For The Wave-Map Equation

YONA FRIEDMAN. THE DILUTION OF ARCHITECTURE

Optimal Isotropic Wavelets for Localized Tight Frame Representations

Qual o sentido da Geografia Cultural ?

The vestibular system: a spatial reference for bodily self-consciousness

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

ON A GENERALIZATION OF THE POINCARE LEMMA TO EQUATIONS OF THE TYPE dw plus a Lambda w = f

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

Stochastic partial differential equations driven by Lévy white noises

Improving Spatial Data Processing by Clipping Minimum Bounding Boxes

YONA FRIEDMAN. THE DILUTION OF ARCHITECTURE

The vestibular system: a spatial reference for bodily self-consciousness

A Class Of Large Global Solutions For The Wave-Map Equation

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

Optimal Isotropic Wavelets for Localized Tight Frame Representations

Qual o sentido da Geografia Cultural ?