A blow-up mechanism for a chemotaxis model
A Boundary Value Problem Connected with Response of Semi-space to a Short Laser Pulse
In this paper a mixed boundary value problem for the fourth order hyperbolic equation with constant coefficients which is connected with response of semi-space to a short laser pulse» and belongs to generalized Thermoelasticity is studied. This problem was considered by R. B. Hetnarski and J. Ignaczak, who established some important physical consequences. The present paper contains proof of the existence, uniqueness and continuous dependence of a solution on the datum, together with an effective...
A Cauchy problem for . Asymptotic behaviour of solutions
A chart preserving the normal vector and extensions of normal derivatives in weighted function spaces
Given a domain of class , , we construct a chart that maps normals to the boundary of the half space to normals to the boundary of in the sense that and that still is of class . As an application we prove the existence of a continuous extension operator for all normal derivatives of order 0 to on domains of class . The construction of this operator is performed in weighted function spaces where the weight function is taken from the class of Muckenhoupt weights.
A class of pseudo differential operators with multiple non-involutive characteristics
A control on the set where a Green's function vanishes
A decomposition method for a semilinear boundary value problem with a quadratic nonlinearity.
A Direct Approach to the Mellin Transform.
A discrete phenomenon in propagation of singularities
A field equation defined by a Hurwitz pair
A Finite-Difference Approximation for the Eigenvalue of the Clamped Plate.
A free boundary problem for the -Laplacian: uniqueness, convexity, and successive approximation of solutions.
A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation
We address the issue of parameter variations in POD approximations of time-dependent problems, without any specific restriction on the form of parameter dependence. Considering a parabolic model problem, we propose a POD construction strategy allowing us to obtain some a priori error estimates controlled by the POD remainder – in the construction procedure – and some parameter-wise interpolation errors for the model solutions. We provide a thorough numerical assessment of this strategy with the...
A general approach for multiconfiguration method sin quantum molecular chemistry
A general class of phase transition models with weighted interface energy
A general controllability theorem
A general theory of integral transforms and its applications
A generalization of Schauder's theorem and its application to Cauchy-Kovalevskaya problem.
A generalization of the radiation condition of Sommerfeld for -body Schrödinger operators
A generalization of the saddle point method with applications
We show that one can drop an important hypothesis of the saddle point theorem without affecting the result. We then show how this leads to stronger results in applications.