Index Catalog // ScholarsArchive@OSU

Creator:: Showalter, R. E.
Abstract:: We are concerned here with well-posed problems for the partial differential equation uₜ(x, t) + yMuₜ(x, t) + Lu(x, t) = f(x, t) containing the elliptic differential operator M of order 2m and the differential operator L of order ≤2m. Hilbert space methods are used to formulate and solve an...
Resource Type:: Article
Full Text:: . TAYLOR, Research on Consolidation of Clays, Massachusetts Institute of Technology Press, Cambridge, 1952

Creator:: Showalter, R. E.
Abstract:: An existence theory is developed for a semilinear evolution equation in Banach space which is modeled on boundary value problems for partial differential equations of Sobolev type. The operators are assumed to be measurable and to satisfy coercive estimates which are not necessarily uniform in their time dependence, and to...
Resource Type:: Article
Full Text:: Mathematics, University of Texas, Austin, Texas 78712. This research was sup- ported in part by a National

Creator:: Showalter, R. E.
Abstract:: The L²-error estimates are established for the continuous time Faedo-Galerkin approximation to solutions of a linear parabolic initial boundary value problem that has elliptic part of order 2m. Properties of analytic semigroups are used to obtain these estimates directly from the L²-estimates for the corresponding steady state elliptic problem under...
Resource Type:: Article
Full Text:: . BRAMBLE AND V. THOMEE, Discrete time Galerkin methodsfor aparabolic boundaryualueproblem, Math. Research

Creator:: Showalter, R. E.
Abstract:: The Cauchy problem for the evolution equation Mu’(t) + N(t,u(t)) = 0 is studied, where M and N(t,•) are, respectively, possibly degenerate and nonlinear monotone operators from a vector space to its dual. Sufficient conditions for existence and for uniqueness of solutions are obtained by reducing the problem to an...
Resource Type:: Article

Creator:: Showalter, R. E.
Abstract:: We give a nonstandard method of integrating the equation Bu" + Cu’ + Au = f in Hilbert space by reducing it to a first order system in which the differentiated term corresponds to energy. Semigroup theory gives existence for hyperbolic and for parabolic cases. When C = εA, ε...
Resource Type:: Article

Creator:: Farber, Paul Lawrence
Abstract:: No abstract available.
Resource Type:: Article
Full Text:: . Dajc, Miss Lovenack, and Miss Tomlin of the Zoology Library in the British Museum (Natural History

Creator:: Farber, Paul Lawrence
Abstract:: No abstract available
Resource Type:: Article
Full Text:: . *Department of General Science, Oregon State University, Corvallis, Oregon 97331. Research for this paper

Creator:: Burgett, D. Michael
Abstract:: The mating flight behavior of drone honey bees from swarm clusters is compared to drone mating flight behavior from colony situations. Duration of flight from swarms and colony situations is similar. Swarm drones appear to take as many flights/day but spend less time between flights than colony drones.
Resource Type:: Article
Full Text:: publication Jan. 10, 1974. 683 swarms and colony situations is similar. Swarm drones appear to take as many

Creator:: Burgett, D. Michael
Abstract:: Male Apis mellifera L. (drones) accompanying reproductive swarms were analyzed for honey stomach contents to determine if they engorge honey prior to or during swarming. No evidence for engorgement was found. A diurnal feeding rhythm in drones was observed in non swarming colonies.
Resource Type:: Article
Full Text:: Bees. Received for publication Feb. 12, 1973. D. M. Caron, 1971. A study of swarming and the behavior

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