116973322
Global Classical Solutions for Nonlinear Evolution Equations
This text represents the results originally obtained by S. Lainerman, D. Christodoulou, Y. Choquet-Bruhat, T. Nishida and A. Matsumara on the global existence of classical solutions to the Cauchy problem with small initial data for nonlinear evolution equations.
121254680
Partial regularity for weak heat flows into spheres
In this paper we show that a weak heat flow of harmonic maps from a compact Riemannian manifold (possibly with boundary) into a sphere, satisfying the monotonicity inequality and the energy inequality, is regular off a closed set of m-dimensional Hausdorff measure zero.
120256120
On the Vibration of Beams or Rods Carrying a Concentrated Mass
123362551
Der Satz von Miquel in der Möbiusebene
59364606
On existence theorems of periodic traveling wave solution to the generalized forced Kadomtsev-Petviashvili equation
T uts PAPER is concerned with periodic travcling wave solutions of the generalized forced KadomtsevPetviashvili equation in the form ( u 1 + If( tt)lx + o u x.rx )"' + {3uyy = ho. The basic approach to this problem is to establish an equivalence relat ionship between a periodic boundary value problem and nonlinear integral equations wirh symrnerric kernels by using the Green's function method. The integral representations generate compact operators in a Banach space of real-valued continuous periodic functions with a given period 2T. Schauder's fixed point theorem is then used to prove the existence of no nconstant periodic traveling wave solutions.