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Displaying 221 – 240 of 398

On a system of equations of evolution with a non-symmetrical parabolic part occuring in the analysis of moisture and heat transfer in porous media

Jiří Vala (2002)

Applications of Mathematics

Most non-trivial existence and convergence results for systems of partial differential equations of evolution exclude or avoid the case of a non-symmetrical parabolic part. Therefore such systems, generated by the physical analysis of the processes of transfer of heat and moisture in porous media, cannot be analyzed easily using the standard results on the convergence of Rothe sequences (e.g. those of W. Jäger and J. Kačur). In this paper the general variational formulation of the corresponding...

On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient

Tuan Nguyen Huy (2014)

Applications of Mathematics

In this paper, a nonlinear backward heat problem with time-dependent coefficient in the unbounded domain is investigated. A modified regularization method is established to solve it. New error estimates for the regularized solution are given under some assumptions on the exact solution.

On an integral inequality with a kernel singular in time and space.

Tatar, Nasser-Eddine (2003)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

On Borel summable solutions of the multidimensional heat equation

Sławomir Michalik (2012)

Annales Polonici Mathematici

We give a new characterisation of Borel summability of formal power series solutions to the n-dimensional heat equation in terms of holomorphic properties of the integral means of the Cauchy data. We also derive the Borel sum for the summable formal solutions.

On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations

Jérôme Le Rousseau, Gilles Lebeau (2012)

ESAIM: Control, Optimisation and Calculus of Variations

Local and global Carleman estimates play a central role in the study of some partial differential equations regarding questions such as unique continuation and controllability. We survey and prove such estimates in the case of elliptic and parabolic operators by means of semi-classical microlocal techniques. Optimality results for these estimates and some of their consequences are presented. We point out the connexion of these optimality results to the local phase-space geometry after conjugation...

On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations∗∗∗

Jérôme Le Rousseau, Gilles Lebeau (2012)

ESAIM: Control, Optimisation and Calculus of Variations

On Continuous Dependence, on Noncharacteristic Cauchy Data, for Level Lines of Solutions of the Heat Equation.

Paolo Manselli, Sergio Vessella (1991)

Forum mathematicum

On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface

Hans-Ullrich Wenk (1982)

Aplikace matematiky

The vibration problem in two variables is derived from the spatial situation (a plate as a three-dimensional body) on the basis of geometrically nonlinear plate theory (using Kármán's hypothesis) and coupled linear thermoelasticity. That leads to coupled strongly nonlinear two-dimensional equilibrium and heat conducting equations (under classical mechanical and thermal boundary conditions). For the generalized problem with subgradient conditions on the boundary and in the domain (including also...

On existence of harmonic maps from a surface to the spcae of it

Valery Marenich (1993)

Mathematische Zeitschrift

On Gaussian Brunn-Minkowski inequalities

Franck Barthe, Nolwen Huet (2009)

Studia Mathematica

We are interested in Gaussian versions of the classical Brunn-Minkowski inequality. We prove in a streamlined way a semigroup version of the Ehrhard inequality for m Borel or convex sets based on a previous work by Borell. Our method also yields semigroup proofs of the geometric Brascamp-Lieb inequality and of its reverse form, which follow exactly the same lines.

On nonstandard potentials in a Stefan problem.

Malyshev, Igor (1990)

Journal of Applied Mathematics and Stochastic Analysis

On rates of propagation for Burgers’ equation

William Alan Day, Giuseppe Saccomandi (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We give asymptotic formulae for the propagation of an initial disturbance of the Burgers’ equation.

Currently displaying 221 – 240 of 398

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Displaying 221 – 240 of 398

On a system of equations of evolution with a non-symmetrical parabolic part occuring in the analysis of moisture and heat transfer in porous media

On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient

On an integral inequality with a kernel singular in time and space.

On Borel summable solutions of the multidimensional heat equation

On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations

On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations∗∗∗

On Continuous Dependence, on Noncharacteristic Cauchy Data, for Level Lines of Solutions of the Heat Equation.

On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface

On existence of harmonic maps from a surface to the spcae of it

On Gaussian Brunn-Minkowski inequalities

On nonstandard potentials in a Stefan problem.

On rates of propagation for Burgers’ equation

On Some Boundary Element Methods for the Heat Equation.

On the backward heat equation

On the backward heat problem: evaluation of the norm of $\partial u / \partial t$ .

On the backward parabolic equation: a critical survey of some current methods

On the base and the essential base in parabolic potential theory

On the continuity of heat potentials

On the convergence of a factorized vector finite difference scheme.

On the convergence of a multicomponent alternating direction difference scheme.

Currently displaying 221 – 240 of 398