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20092020
most citedA feynman path integral representation for elastic wave scattering by anisotropic weakly perturbations

4 citations · 8 across the 26 of their papers we have counts for

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6 papers · 1 filter

math-ph2010

Non linear diffusion and wave damped propagation : weak solutions and statistical turbulence behavior

Luiz C L Botelho

We present mathematical proofs on the existence and uniqueness of weak solutions for a special class of non linear parabolic and hyperbolic equations of mathematical physics subjec…

math-ph2009

On the Ergodic Theorem for non-linear wave propagation

Luiz C. L. Botelho

We present a complete study of the ergodic theorem for the difficult problem of non-linear wave propagations through cylindrical measures /path integrals and the famous Ruelle-Amre…

math-ph2009

Exponential stability in two-dimensional magneto-elasticity : a proof on a dissipative medium

Luiz C L Botelho

We give a proof of the exponential uniform decay of magneto-elasticity waves in a compact medium

math-ph2009★ 4 cited

A feynman path integral representation for elastic wave scattering by anisotropic weakly perturbations

Luiz C. L. Botelho

We write a space-time Feynman path integral representation for scattered elastic wave fields from a weakly compact supported anisotropic non-homogeneity.Replacement by a new versio…

math-ph2009

Domains of bosonic Functional integrals and some applications to the mathematical physics of path integrals and String Theory

Luiz. C. L. Botelho

By means of the Minlos Theorem on support of cylindrical measures on vectorial topological spaces, we present several results on the rigorous definitions of Euclidean path integral…

math-ph2009

Some comments on rigorous quantum field path integrals in the analytical regularization scheme

Luiz. C. L. Botelho

Trough the systematic use of the Minlos theorem on the support of cylindrical measures on R infinity, we produce several mathematically rigorous path integrals in interacting eucli…