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Displaying 21 – 35 of 35

Fourier approach to homogenization problems

Carlos Conca, M. Vanninathan (2002)

ESAIM: Control, Optimisation and Calculus of Variations

This article is divided into two chapters. The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in the first chapter. Following a Fourier approach, we discuss some of the basic issues of the subject: main convergence theorem, Bloch approximation, estimates on second order derivatives, correctors for the medium, and so on. The second chapter is devoted to the discussion of some non-classical behaviour of vibration problems of periodic...

Fourier approach to homogenization problems

Carlos Conca, M. Vanninathan (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Fourier integral operators in SG classes. I: Composition theorems and action on SG Sobolev spaces.

Coriasco, S. (1999)

Rendiconti del Seminario Matematico

Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces

Luca Brandolini, Leonardo Colzani (1996)

Colloquium Mathematicae

Fourier-like methods for equations with separable variables

Danuta Przeworska-Rolewicz (2009)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

It is well known that a power of a right invertible operator is again right invertible, as well as a polynomial in a right invertible operator under appropriate assumptions. However, a linear combination of right invertible operators (in particular, their sum and/or difference) in general is not right invertible. It will be shown how to solve equations with linear combinations of right invertible operators in commutative algebras using properties of logarithmic and antilogarithmic mappings. The...

Functional differential equations of the Cauchy-Kowalewsky type.

Wolfgang Walter (1985)

Aequationes mathematicae

Fundamental operator-functions of degenerate differential and difference-differential operators in Banach spaces which have a Noether operator in the principal part.

Falaleev, M.V., Grazhdantseva, E.Yu. (2005)

Sibirskij Matematicheskij Zhurnal

Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials

Kazuhiro Kurata, Satoko Sugano (2000)

Studia Mathematica

We show a weighted version of Fefferman-Phong's inequality and apply it to give an estimate of fundamental solutions, eigenvalue asymptotics and exponential decay of eigenfunctions for certain degenerate elliptic operators of second order with positive potentials.

Fundamental solution of initial-boundary value problem for fourth-order pseudoparabolic equations with nonsmooth coefficients.

Mamedov, I.G. (2010)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

Fundamental solutions and asymptotic behaviour for the p-Laplacian equation.

Soshana Kamin, Juan Luis Vázquez (1988)

Revista Matemática Iberoamericana

We establish the uniqueness of fundamental solutions to the p-Laplacian equationut = div (|Du|p-2 Du), p > 2,defined for x ∈ RN, 0 < t < T. We derive from this result the asymptotic behavoir of nonnegative solutions with finite mass, i.e., such that u(*,t) ∈ L1(RN). Our methods also apply to the porous medium equationut = ∆(um), m > 1,giving new and simpler proofs of known results. We finally introduce yet another method of proving asymptotic results based on the...

Fundamental Solutions and Eigenfunction Expansions for Schrödinger Operators. II. Eigenfunction Expansions.

Arne Jensen, Hitoshi Kitada (1988)

Mathematische Zeitschrift

Fundamental solutions and singular shocks in scalar conservation laws.

Emmanuel Chasseigne (2003)

Revista Matemática Complutense

We study the existence and non-existence of fundamental solutions for the scalar conservation laws ut + f(u)x = 0, related to convexity assumptions on f. We also study the limits of those solutions as the initial mass goes to infinity. We especially prove the existence of so-called Friendly Giants and Infinite Shock Solutions according to the convexity of f, which generalize the explicit power case f(u) = um. We introduce an extended notion of solution and entropy criterion to allow infinite shocks...

Fundamental solutions for translation and rotation invariant differential operators on the Heisenberg group

Priscilla Gorelli (2000)

Colloquium Mathematicae

Fundamental solutions of the differential operator ${(- 1)}^{n} D_{1}^{n} D_{2}^{n} + a {(i D_{1})}^{n} + b {(i D^{2})}_{n} + c$

Věra Radochová (1980)

Časopis pro pěstování matematiky

Fundamentallösungen von homogenen Differentialoperatoren [Book]

Martin Galler (1989)

Currently displaying 21 – 35 of 35

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