Results 31 to 40 of about 6,843,871 (313)

Local existence, global existence, and scattering for the nonlinear Schrödinger equation [PDF]

, 2016
In this paper, we construct for every α > 0 and λ ∈ ℂ a class of initial values u0 for which there exists a local solution of the nonlinear Schrodinger equation iut + Δu + λ|u|αu = 0 on ℝN with the initial condition u(0,x) = u0.
T. Cazenave, I. Naumkin
semanticscholar   +1 more source

Global existence of solutions to some semilinear integro-differential evolution equations with sign-varying kernels

Nonautonomous Dynamical Systems, 2020
In this paper, we study the global existence of solutions to some semilinear integro-differential evolution equations in Hilbert spaces with sign-varying kernels.
Jin Kun-Peng, Liang Jin, Xiao Ti-Jun
doaj   +1 more source

Threshold Results for the Existence of Global and Blow-Up Solutions to a Time Fractional Diffusion System with a Nonlinear Memory Term in a Bounded Domain

Fractal and Fractional, 2023
In this paper, we consider a time fractional diffusion system with a nonlinear memory term in a bounded domain. We mainly prove some blow-up and global existence results for this problem. Moreover, we also give the decay estimates of the global solutions.
Quanguo Zhang, Yaning Li
doaj   +1 more source

Exponential Scattering for a Damped Hartree Equation

Fractal and Fractional, 2023
This note studies the linearly damped generalized Hartree equation iu˙−(−Δ)su+iau=±|u|p−2(Jγ∗|u|p)u ...
Talal Alharbi, Salah Boulaaras, Tarek Saanouni   +2 more
doaj   +1 more source

Global existence and asymptotic behavior for a nonlinear degenerate SIS model [PDF]

Opuscula Mathematica, 2013
In this paper we investigate the global existence and asymptotic behavior of a reaction diffusion system with degenerate diffusion arising in the modeling and the spatial spread of an epidemic disease.
Tarik Ali Ziane
doaj   +1 more source

The HIT Network for Children and Adolescents With CNS Tumors Facilitates Improvements of Diagnostic Assessments, Multimodal Treatments, Individual Counseling, and Research in Germany, Austria, and Switzerland

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The HIT network was established in 2000 to create a population‐based structure aiming to improve survival rates and reduce late effects for children with central nervous system (CNS) tumors by conducting comprehensive clinical trials.
Stefan Rutkowski, Michael C. Frühwald, Gudrun Fleischhack, Stephan Tippelt, Pablo Hernáiz‐Driever, Olaf Witt, Astrid Gnekow, Christof Kramm, Matthias Eyrich, Johannes E. A. Wolf, Hermann Müller, Carsten Friedrich, Uwe R. Kordes, Denise Obrecht‐Sturm, Petra Ketteler, Barbara von Zezschwitz, Pascal Johann, Dominik Sturm, Karoline Nemes, Stefan Schönberger, Till Milde, Brigitte Bison, Monika Warmuth‐Metz, Torsten Pietsch, Ulrich Schüller, Arend Koch, David Capper, Martin Hasselblatt, Christian Thomas, Christian Hagel, Stefan M. Pfister, Felix Sahm, David T. W. Jones, Martin U. Schuhmann, Jürgen Krauss, Pedram Emami, Ahmed El Damaty, Rolf D. Kortmann, Rudolf Schwarz, Jürgen Debus, Mechthild Krause, Fabian Pohl, Holger Ottensmeier, Lisa Bußenius, Katja Baust, Andreas Faldum, Cecile Ronckers, Desiree Grabow, Martin Benesch, Thomas Perwein, Karin Dieckmann, Irene Slavc, Johannes Gojo, Nicolas U. Gerber, André O. von Bueren, Katrin Scheinemann, Gabriele Calaminus, Beate Timmermann, Ulrich‐Wilhelm Thomale, Martin Mynarek   +59 more
wiley   +1 more source

Existence and decay of finite energy solutions for semilinear dissipative wave equations in time-dependent domains [PDF]

Opuscula Mathematica, 2020
We consider the initial-boundary value problem for semilinear dissipative wave equations in noncylindrical domain \(\bigcup_{0\leq t \lt\infty} \Omega(t)\times\{t\} \subset \mathbb{R}^N\times \mathbb{R}\). We are interested in finite energy solution.
Mitsuhiro Nakao
doaj   +1 more source

Unheard and Under‐Supported: Health‐Related Quality of Life in Children, Adolescents, and Young Adults With Sickle Cell Disease

Pediatric Blood &Cancer, EarlyView.
Abstract Background Sickle cell disease (SCD) is an autosomal recessive hemoglobinopathy affecting millions of individuals worldwide. The clinical expression and psychosocial burden of SCD vary widely across geographical, cultural, and healthcare system contexts, underscoring the need for setting‐specific approaches to assessment.
Desiré Fantasia, Giulia Reggiani, Elizabeth J. Maran, Maria Elisa Delle Fave, Ilaria Baido, Anna Chiara Frigo, Maria Paola Boaro, Raffaella Colombatti   +7 more
wiley   +1 more source

ON THE GLOBAL EXISTENCE OF TIME [PDF]

International Journal of Modern Physics D, 2009
The global existence of time is often taken for granted but should instead be considered for investigation. Using the tools of global Lorentzian geometry the author shows that, under physically reasonable conditions, the impossibility of finding a global time implies the singularity of space–time.
openaire   +4 more sources

Carcinomas and Carcinoid Tumors of the Lungs and Bronchi in Children and Adolescents: The EXPeRT Recommendations

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Primary lung carcinomas and bronchial carcinoid tumors (BC) are very rare malignancies in childhood. While typical BC and mucoepidermoid carcinomas are mostly low‐grade, localized tumors with a more favorable prognosis than in adults, necessitating avoidance of overtreatment, adenocarcinomas of the lung are often diagnosed at advanced disease ...
Michael Abele, Calogero Virgone, Michaela Kuhlen, Sabine Irtan, Yves Reguerre, Malgorzata Krawczyk, Ewa Bien, Tal Ben‐Ami, Maja Cesen, Ricardo Lopez‐Almaraz, Andrea Ferrari, Gianni Bisogno, Dominik T. Schneider, Abbas Agaimy, Constantin Lapa, Hubert Ducou le Pointe, Rainer Claus, Catherine Daniel, Ines B. Brecht, Daniel Orbach   +19 more
wiley   +1 more source