Search Results - "Weissler, B."

MR-compatibility assessment of the first preclinical PET-MRI insert equipped with digital silicon photomultipliers by Wehner, J, Weissler, B, Dueppenbecker, P M, Gebhardt, P, Goldschmidt, B, Schug, D, Kiessling, F, Schulz, V

“…PET (positron emission tomography) with its high sensitivity in combination with MRI (magnetic resonance imaging) providing anatomic information with good…”
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FPGA-based RF interference reduction techniques for simultaneous PET-MRI by Gebhardt, P, Wehner, J, Weissler, B, Botnar, R, Marsden, P K, Schulz, V

“…The combination of positron emission tomography (PET) and magnetic resonance imaging (MRI) as a multi-modal imaging technique is considered very promising and…”
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Standing waves of the complex Ginzburg–Landau equation by Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.

“…We prove the existence of nontrivial standing wave solutions of the complex Ginzburg–Landau equation ϕt=eiθΔϕ+eiγ|ϕ|αϕ+kϕ on a bounded domain with Dirichlet…”
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Well-posedness, global existence and large time behavior for Hardy–Hénon parabolic equations by Ben Slimene, Byrame, Tayachi, Slim, Weissler, Fred B.

“…In this paper we study the nonlinear parabolic equation ∂tu=Δu+a|x|−γ|u|αu,t>0,x∈RN∖{0},N≥1,a∈R,α>0,0<γ<min(2,N) and with initial value u(0)=φ. We establish…”
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The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values by TAYACHI, SLIM, WEISSLER, FRED B.

“…<< As an application, we prove the existence of initial values u_0 = \lambda f0 --> \lambda ]]>> (Ghoul (2011), (2012)).]]>…”
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The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces by Ben-Artzi, Matania, Souplet, Philippe, Weissler, Fred B.

“…We consider viscous Hamilton–Jacobi equations of the form (VHJ) u t−Δu=a|∇u| p, x∈ R N, t>0, u(x,0)=u 0(x), x∈ R N, where a∈ R , a≠0 and p⩾1. We provide an…”
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Self-Similar Subsolutions and Blowup for Nonlinear Parabolic Equations by Souplet, Philippe, Weissler, Fred B

“…For a wide class of nonlinear parabolic equations of the formut−Δu=F(u,∇u), we prove the nonexistence of global solutions for large initial data. We also…”
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A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation by Cazenave, Thierry, Correia, Simão, Dickstein, Flávio, Weissler, Fred B.

“…In this paper we consider the nonlinear Schrödinger equation i u t + Δ u + κ | u | α u = 0 . We prove that if α < 2 N and I κ < 0 , then every nontrivial H 1…”
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Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations by Cazenave, Thierry, Weissler, Fred B.

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SPECTRAL PROPERTIES OF STATIONARY SOLUTIONS OF THE NONLINEAR HEAT EQUATION by Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.

“…In this paper, we prove that if Ψ is a radially symmetric, signchanging stationary solution of the nonlinear heat equation (NLH) ut – Δu = |u|αu, in the unit…”
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RF interference reduction for simultaneous digital PET/MR using an FPGA-based, optimized spatial and temporal clocking distribution by Gebhardt, P., Wehner, J., Weissler, B., Kiessling, F., Marsden, P. K., Schulz, V.

“…Positron Emission Tomography (PET) combined with Magnetic Resonance Imaging (MRI) as a hybrid imaging modality is about to become the next-generation imaging…”
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Rapidly decaying solutions of the nonlinear Schrödinger equation by CAZENAVE, T, WEISSLER, F. B

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Global existence and blowup for sign-changing solutions of the nonlinear heat equation by Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.

“…In this paper, given 0 < α < 2 / N , we prove the existence of a function ψ with the following properties. The solution of the equation u t − Δ u = | u | α u…”
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The nonlinear heat equation involving highly singular initial values and new blowup and life span results by Tayachi, Slim, Weissler, Fred B.

“…In this paper we prove local existence of solutions to the nonlinear heat equation u t = Δ u + a | u | α u , t ∈ ( 0 , T ) , x = ( x 1 , … , x N ) ∈ R N , a =…”
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Large Time Behavior of Solutions to the Nonlinear Heat Equation with Absorption with Highly Singular Antisymmetric Initial Values by Mouajria Hattab, Tayachi Slim, Weissler Fred B.

“…In this paper, we study global well-posedness and long-time asymptotic behavior of solutions to the nonlinear heat equation with absorption,…”
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16-channel HF readout electronics and pulse discrimination for ultrafast TOF-PET applications by Nadig, V., Hornisch, M., Oehm, J., Herweg, K., Weindel, K., Schug, D., Weissler, B., Schulz, V., Gundacker, S.

“…Ultrafast high-frequency (HF) readout concepts have advanced the performance limits of single-channel time-of-flight positron emission tomography (TOF-PET)…”
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A High-Resolution Semi-Monolithic Slab Detector tailored for Pre-Clinical PET by Kuhl, Y., Mueller, F., Naunheim, S., Bovelett, M., Lambertus, J., Schug, D., Weissler, B., Gegenmantel, E., Gebhardt, P., Schulz, V.

“…Current pre-clinical positron emission tomography (PET) scanners are often based on monolithic detectors due to their high spatial resolution and intrinsic…”
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Dedicated PET/MRI Research Systems based on the Hyperion III Detector Platform by Weissler, B., Schug, D., Gegenmantel, E., Mueller, F., Kuhl, Y., Naunheim, S., Radermacher, H., Schulz, V.

“…The clinical research community demands a variety of dedicated PET and PET/MRI scanners, each tailored to the different needs and research questions. The…”
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An equation whose Fujita critical exponent is not given by scaling by Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.

“…In this paper, we prove sharp blow up and global existence results for a heat equation with nonlinear memory. It turns out that the Fujita critical exponent is…”
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Characterization of a state-of-the-art clinical detector block with TOFPET2 ASIC readout by Nadig, V., Mueller, F., Breuer, J., Gundacker, S., Schug, D., Mintzer, R. A., Weissler, B., Naunheim, S., Kuhl, Y., Cho, S., Judenhofer, M., Schulz, V.

“…The Biograph Vision, developed by Siemens Healthineers, is regarded as the gold standard for time-of-flight (TOF) performance in clinical positron emission…”
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