ABHANDLUNGEN DER AKADEMIE DER WISSENSCHAFTEN DER DDR Abteilung Mathematik — Naturwissenschaften — Technik Jahrgang 1981 • Nr. 2N Nonlinear Analysis Theory and Applications Proceedings of t h e Seventh International Summer School held a t Berlin, G D R from August 27 to September 1, 1979 Herausgegeben von Professor Dr. sc. Reinhard Kluge bearbeitet von Dr. habil. Wolfdietrich Müller Akademie der Wissenschaften der DDR Institut für Mathematik Mit 34 Abbildungen und 2 Tabellen A K A D E M I E - V E R L A G • B E R L I N • 1981 Contents Invited Lectures H. Amann, Saddle points and nonlinear differential equations H. Benker, On optimal control problems described by Operator equations in Banach and Hubert Spaces M. Biroli, Regularity results for some elliptic variational inequalities with bounded measurable coeff icients and applications L. Bittner, Nonlinear equality constraints in optimization problems with set restrictions G. Brückner, On the speed of c0-sequences in connection with a lemma of Teeplitz H. Gajewski, On an initial-boundary value problem for the nonlinear Schrödinger equation with selfconsistent potential K. Gröger and R. Hünlich, On initial value problems in thermodynamics . . . . C. Großmann, Common properties of nonlinear programming algorithms basing on sequential unconstrained minimizations B. Heinrich, The finite-difference method for a mildly nonlinear elliptic problem I. Hlavacek, Finite dement analysis of the unilateral contact between elastic bodies v R. Kluge, An inverse problem for "coefficients" in linear equations. Uniqueness and iterative Solution J. Kolomy, Nonlinear Operators and solvability of Operator equations E. Krauß, On convergence properties of maximal monotone Operators A. Langenbach and L. Recke, On perturbation of branching problems and secondary branching in the theory of plates W. Müller, On a program for the computation of matter transport in river networks J. Naumann, Existence and regularity theorems for weak Solutions to the equations of motion of visco-plastic media J. Necas, A necessary and sufficient condition for the regularity of weak Solutions to nonlinear elliptic Systems of partial differential equations R. Nehse, Problems in connection with the Hahn-Banach Theorem I. Pawlow, Parabolic problems with free boundaries: Existence and properties of Solutions; optimal control problems O. Pironneau, Optimization methods for non-linear partial differential equations . . B. Rousselet, Design sensitivity analysis in structural mechanics 11 19 29 41 53 75 89 107 119 129 139 149 155 165 181 189 201 211 221 233 245 6 Contents K.-H. Sohlüßler, On optimal control problems in eivil-engineering and technology 255 B. Silbermann, Das asymptotische Verhalten von Toeplitzdeterminanten für einige Klassen von Erzeugerfunktionen 267 I. Singer, Optimization and best approximation 273 J. Sokolowski, Control in coefficients for P D E 287 G. Stoyan, Towards a general-purpose difference scheine for the one-dimensional linear parabolic equation 297 J . Szlaza, Two-component flow round a solid sphere 315 F . Unger, To the mathematical t r e a t m e n t of a technical heat control problem . . 3 2 7 L. v. Wolfersdorf, On some optimal control problems for elliptic Systems in the plane 65 Communications J. Danes, On the radius of a set in a H u b e r t Space . . v. Z. Denkowski, On the variational method without coerciveness S. Dietze, Special control problems and monotone Operators S. Gähler, A generalization of an optimality theorem J. Haslinger and J . Lovisek, Mixed variational formulation of unilateral problems A. Hoffmann, Sufficient conditions for optimality of a control problem with discrete time T. B. Kopeikina, A controllability problem of nonlinear dynamical Systems . . . K. Litewska and J . Muszynski, On the convergence of the finite elements method for some initial problem R. Lorentz, On the normality of Lagrange multiplier rules for optimal control problems M. Niezgodka, Some methods of solving optimal control problems for free boundary processes G. Porath, Ein Approximations-Tterations verfahren für nichtlineare Volterrasche Integralgleichungen zweiter Art L. Recke, Secondary axisymmetric buckled states of thin elastic spherical shells . . T. Riedrich, Perturbation and branching of the Solutions of nonlinear eigenvalue problems H. Schmeling, Zur Existenz der optimalen Steuerung bei Volterraschen Integralgleichungen R. Schumann, The finite difference niethod for quasilinear elliptic equations with rapidly increasing coefficients H.-D. Sparing, A constructive proof of the implicit function theorem for analytic Operators W. Sperber, Some remarks to existence problems of optimal control for parabolic equations . W. Sprößig, Construction of local Solutions for Maxwell equations 337 339 343 347 351 357 361 367 371 375 379 385 389 395 399 403 407 413 / Contents R. Steudel, An abstract equation modelling diffusion in solids with bidisperse pore structure D. Wegner, Bifurcation of axially compressed circular cylindrical Shells with free edges W. Weinelt, On difference approximations of a class of w-dimensional variational inequalities J . Wolska-Bochenek, On some Stefan like problem M. Wulst, On a System of nonlinear partial differential equations arising in the theory of heat and mass transfer in a nonlinear second-order fluid s 417 421 427 433 437
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