1,721,282 research outputs found
Holden, H J, QX15647
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/392843Surname: HOLDEN. Given Name(s) or Initials: H J. Military Service Number or Last Known Location: QX15647. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 44069.211895
Item: [2016.0049.25136] "Holden, H J, QX15647
Holden, H J, NX21437
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/392837Surname: HOLDEN. Given Name(s) or Initials: H J. Military Service Number or Last Known Location: NX21437. Missing, Wounded and Prisoner of War Enquiry Card Index Number: C36447.211877
Item: [2016.0049.25130] "Holden, H J, NX21437
Holden, H, [No Service Number]
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/392830Surname: HOLDEN. Given Name(s) or Initials: H. Military Service Number or Last Known Location: [No Registration Number]. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 52705.211856
Item: [2016.0049.25123] "Holden, H, [No Service Number]
The Schrödinger-Maxwell system with Dirac mass
No full textWe study a non-relativistic charged quantum particle moving
in a bounded open set with smooth boundary under the action of
a zero-range potential. In the electrostatic case the standing wave solution takes the form
where formally satisfies
and the electric potential is given by
. We give a rigorous definition of this problem and show that it has a weak nontrivial solution
On trace formulas for Schrodinger-type operators
No full textGesztesy, F.; Holden, H.. (1995). On trace formulas for Schrodinger-type operators. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2832
Erratum: The Schrodinger–Maxwell system with Dirac mass
No full textWe correct the proof of [G.M. Coclite, H. Holden, The Schrödinger–Maxwell system with Dirac mass, Ann. Inst. H. Poincaré
Anal. Non Linéaire 24 (5) (2007) 773–793, Lemma 4.1]
Ground States of the Schrodinger–Maxwell system with Dirac mass: Existence and Asymptotics
No full textWe study a non-relativistic charged quantum particle moving
in a bounded open set with smooth boundary under the action of
a zero-range potential. In the electrostatic case the standing wave solutions take the form
where formally satisfies
and the electric potential is given by
. We introduce the definition of ground state. We show the existence of such solutions for each and the compactness as
Stability of Solutions of Quasilinear Parabolic Equations
No full textWe bound the difference between solutions and of
u_t = a\Delta u+\Div_x f+h and v_t = b\Delta v+\Div_x g+k
with initial data and , respectively, by
\Vert u(t,\dott)-v(t,\dott)\Vert_{L^p(E)}\le
A_E(t)\Vert \varphi-\psi\Vert_{L^\infty(\R^n)}^{2\rho_p}+ B(t)(\Vert a-b\Vert_{\infty}+
\Vert \nabla_x\cdot f-\nabla_x\cdot g\Vert_{\infty}+ \Vert f_u-g_u\Vert_{\infty}
+ \Vert h-k\Vert_{\infty})^{\rho_p} \abs{E}^{\eta_p}. Here all
functions , , and are
smooth and bounded, and may
depend on , , and . The functions and may in addition depend on . Identical assumptions hold for the functions that determine the solutions . Furthermore, is
assumed to be a bounded set, and and are fractions that
depend on and . The diffusion coefficients and are assumed
to be strictly positive and the initial data are smooth
A law of large numbers and a central limit theorem for the Schroedinger operator with zero range potentials
No full text- …
