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Resolvent Estimates for Schrödinger-Type and Maxwell Equations with Applications

In: Spectral and Scattering Theory

Author

Listed:
  • Matania Ben-Artzi

    (Hebrew University, Institute of Mathematics)

  • Jonathan Nemirovsky

    (Hebrew University, Institute of Mathematics)

Abstract

It is the purpose of this paper to present some recent results concerning properties of solutions to time dependent Schrödinger-type equations of the form, 0.1 % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqbaeqabiqaaa % qaaabaaaaaaaaapeWaaSaaa8aabaWdbiaaigdaa8aabaWdbiaadMga % aaWaaSaaa8aabaWdbiaadsgacaWG1baapaqaa8qacaWGKbGaamiDaa % aacqGH9aqpcaGGOaGaamisa8aadaWgaaWcbaWdbiaaicdaa8aabeaa % k8qacqGHRaWkcaWGwbGaaiykaiaadwhacaGGSaaapaqaa8qacaWG1b % GaaiikaiaaicdacaGGPaGaeyypa0JaamyDa8aadaWgaaWcbaWdbiaa % icdaa8aabeaak8qacqGHiiIZcaWGmbWdamaaCaaaleqabaWdbiaaik % daaaGccaGGOaGaeSyhHe6damaaCaaaleqabaWdbiaad6gaaaGccaGG % PaGaaiOlaaaaaaa!5271! $$ \begin{array}{*{20}c} {\frac{1}{i}\frac{{du}}{{dt}} = (H_0 + V)u,} \\ {u(0) = u_0 \in L^2 (\mathbb{R}^n ).} \\ \end{array} $$

Suggested Citation

  • Matania Ben-Artzi & Jonathan Nemirovsky, 1998. "Resolvent Estimates for Schrödinger-Type and Maxwell Equations with Applications," Springer Books, in: Alexander G. Ramm (ed.), Spectral and Scattering Theory, chapter 2, pages 19-31, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-1552-8_2
    DOI: 10.1007/978-1-4899-1552-8_2
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