Schauder theory for a parabolic equation in a wedge-shaped domain

passivity in waiting for godot and endgame: a psychoanalytic reading

this study intends to investigate samuel beckett’s waiting for godot and endgame under the lacanian psychoanalysis. it begins by explaining the most important concepts of lacanian psychoanalysis. the beckettian characters are studied regarding their state of unconscious, and not the state of consciousness as is common in most beckett studies. according to lacan, language plays the sole role in ...

Schauder Estimates for Elliptic and Parabolic Equations

The Schauder estimate for the Laplace equation was traditionally built upon the Newton potential theory. Different proofs were found later by Campanato [Ca], in which he introduced the Campanato space; Peetre [P], who used the convolution of functions; Trudinger [T], who used the mollification of functions; and Simon [Si], who used a blowup argument. Also a perturbation argument was found by Sa...

A Quasilinear Parabolic Equation With Inhomogeneous Density and Absorption

Schauder and Lp Estimates for Parabolic Systems via Campanato Spaces

The following note deals with classical Schauder and L estimates in the setting of parabolic systems. For the heat equation these estimates are usually obtained via potential theoretic methods, i.e. by studying the fundamental solution (see e.g. [3], [8], and, for the elliptic case, [7]). For systems, however, it has become customary to base both Schauder and L theory on Campanato’s technique. ...

Solving the inverse problem of determining an unknown control parameter in a semilinear parabolic equation

The inverse problem of identifying an unknown source control param- eter in a semilinear parabolic equation under an integral overdetermina- tion condition is considered. The series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (WHAM). A description of the method for solving the problem and nding the unknown parameter is derived. Finally, tw...