Academic literature on the topic 'Limiting absorption principle'
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Journal articles on the topic "Limiting absorption principle"
Renger, Walter. "Limiting Absorption Principle for Singularly Perturbed Operators." Mathematische Nachrichten 228, no. 1 (August 2001): 163–87. http://dx.doi.org/10.1002/1522-2616(200108)228:1<163::aid-mana163>3.0.co;2-v.
Full textRoyer, Julien. "Limiting Absorption Principle for the Dissipative Helmholtz Equation." Communications in Partial Differential Equations 35, no. 8 (July 15, 2010): 1458–89. http://dx.doi.org/10.1080/03605302.2010.490287.
Full textDatchev, Kiril. "Quantitative Limiting Absorption Principle in the Semiclassical Limit." Geometric and Functional Analysis 24, no. 3 (April 29, 2014): 740–47. http://dx.doi.org/10.1007/s00039-014-0273-8.
Full textBen-Artzi, Matania, and Allen Devinatz. "The limiting absorption principle for partial differential operators." Memoirs of the American Mathematical Society 66, no. 364 (1987): 0. http://dx.doi.org/10.1090/memo/0364.
Full textItakura, Kyohei. "Limiting Absorption Principle and Radiation Condition for Repulsive Hamiltonians." Funkcialaj Ekvacioj 64, no. 2 (August 15, 2021): 199–223. http://dx.doi.org/10.1619/fesi.64.199.
Full textde Monvel, Anne Boutet, and Radu Purice. "Limiting absorption principle for schrödinger hamiltonians with magnetic fields." Communications in Partial Differential Equations 19, no. 1-2 (January 1994): 89–117. http://dx.doi.org/10.1080/03605309408821010.
Full textKopylova, E. "Limiting absorption principle for the 1D discrete Dirac equation." Russian Journal of Mathematical Physics 22, no. 1 (January 2015): 34–38. http://dx.doi.org/10.1134/s1061920815010069.
Full textBalslev, E., and B. Helffer. "Limiting absorption principle and resonances for the Dirac operator." Advances in Applied Mathematics 13, no. 2 (June 1992): 186–215. http://dx.doi.org/10.1016/0196-8858(92)90009-l.
Full textTaira, Kouichi. "Limiting absorption principle on Lp-spaces and scattering theory." Journal of Mathematical Physics 61, no. 9 (September 1, 2020): 092106. http://dx.doi.org/10.1063/5.0011805.
Full textJecko, Thierry, and Aiman Mbarek. "Limiting Absorption Principle for Schrödinger Operators with Oscillating Potentials." Documenta Mathematica 22 (2017): 727–76. http://dx.doi.org/10.4171/dm/577.
Full textDissertations / Theses on the topic "Limiting absorption principle"
Rihani, Mahran. "Maxwell's equations in presence of metamaterials." Electronic Thesis or Diss., Institut polytechnique de Paris, 2022. https://theses.hal.science/tel-03670420.
Full textThe main subject of this thesis is the study of time-harmonic electromagnetic waves in a heterogeneous medium composed of a dielectric and a negative material (i.e. with a negative dielectric permittivity ε and/or a negative magnetic permeability μ) which are separated by an interface with a conical tip. Because of the sign-change in ε and/or μ, the Maxwell’s equations can be ill-posed in the classical L2 −frameworks. On the other hand, we know that when the two associated scalar problems, involving respectively ε and μ, are well-posed in H1, the Maxwell’s equations are well-posed. By combining the T-coercivity approach with the Mellin analysis in weighted Sobolev spaces, we present, in the first part of this work, a detailed study of these scalar problems. We prove that for each of them, the well-posedeness in H1 is lost iff the associated contrast belong to some critical set called the critical interval. These intervals correspond to the sets of negative contrasts for which propagating singularities, also known as black hole waves, appear at the tip. Contrary to the case of a 2D corner, for a 3D tip, several black hole waves can exist. Explicit expressions of these critical intervals are obtained for the particular case of circular conical tips. For critical contrasts, using the Mandelstam radiation principle, we construct functional frameworks in which well-posedness of the scalar problems is restored. The physically relevant framework is selected by a limiting absorption principle. In the process, we present a new numerical strategy for 2D/3D scalar problems in the non-critical case. This approach, presented in the second part of this work, contrary to existing ones, does not require additional assumptions on the mesh near the interface. The third part of the thesis concerns Maxwell’s equations with one or two critical coefficients. By using new results of vector potentials in weighted Sobolev spaces, we explain how to construct new functional frameworks for the electric and magnetic problems, directly related to the ones obtained for the two associated scalar problems. If one uses the setting that respects the limiting absorption principle for the scalar problems, then the settings provided for the electric and magnetic problems are also coherent with the limiting absorption principle. Finally, the last part is devoted to the homogenization process for time-harmonic Maxwell’s equations and associated scalar problems in a 3D domain that contains a periodic distribution of inclusions made of negative material. Using the T-coercivity approach, we obtain conditions on the contrasts such that the homogenization results is possible for both the scalar and the vector problems. Interestingly, we show that the homogenized matrices associated with the limit problems are either positive definite or negative definite
Books on the topic "Limiting absorption principle"
Allen, Devinatz, ed. The limiting absorption principle for partial differential operators. Providence, R.I., USA: American Mathematical Society, 1987.
Find full textSutton, David G. Operational radiation protection. Oxford University Press, 2015. http://dx.doi.org/10.1093/med/9780199655212.003.0007.
Full textStubbe, Peter. Legal Consequences of the Pollution of Outer Space with Space Debris. Oxford University Press, 2017. http://dx.doi.org/10.1093/acrefore/9780190647926.013.68.
Full textBook chapters on the topic "Limiting absorption principle"
Renger, Walter. "Stability of Limiting Absorption Principle under Singular Perturbations." In Mathematical Results in Quantum Mechanics, 351–57. Basel: Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8745-8_34.
Full textRabinovich, Vladimir. "Limiting Absorption Principle for a Class of Difference Equations." In Operator Theoretical Methods and Applications to Mathematical Physics, 403–22. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7926-2_37.
Full textYafaev, D. "The limiting absorption principle (LAP), the radiation conditions and the expansion theorem." In Mathematical Surveys and Monographs, 231–65. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/158/09.
Full textBehncke, Horst, and Peter Rejto. "A Limiting Absorption Principle for Separated Dirac Operators with Wigner von Neumann Type Potentials." In Hamiltonian Dynamical Systems, 59–88. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4613-8448-9_4.
Full textSchweizer, Ben, and Maik Urban. "On a Limiting Absorption Principle for Sesquilinear Forms with an Application to the Helmholtz Equation in a Waveguide." In Trends in Mathematics, 291–307. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-47174-3_18.
Full textRejto, Peter, and Mario Taboada. "A Turning Point Problem Arising in Connection with a Limiting Absorption Principle for Schrödinger Operators with Generalized Von Neumann—Wigner Potentials." In Spectral and Scattering Theory, 131–55. Boston, MA: Springer US, 1998. http://dx.doi.org/10.1007/978-1-4899-1552-8_9.
Full text"Limiting Absorption Principle." In Dispersion Decay and Scattering Theory, 71–88. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2012. http://dx.doi.org/10.1002/9781118382868.ch6.
Full text"Limiting absorption principle." In Mathematical Surveys and Monographs, 97–114. Providence, Rhode Island: American Mathematical Society, 2019. http://dx.doi.org/10.1090/surv/244/06.
Full text"Principle of Limiting Absorption and Absolute Continuity." In Spectral and Scattering Theory for Second-Order Partial Differential Operators, 49–63. Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9781315152905-5.
Full textMokhtar-Kharroubi, M. "Limiting absorption principles and wave operators in L1(μ) spaces with applications to transport theory." In Series on Advances in Mathematics for Applied Sciences, 267–90. WORLD SCIENTIFIC, 1997. http://dx.doi.org/10.1142/9789812819833_0012.
Full textConference papers on the topic "Limiting absorption principle"
Wheatley, P., M. Whitehead, P. J. Bradley, G. Parry, J. E. Midwinter, P. Mistry, M. A. Pate, and J. S. Roberts. "A Hard-Limiting Opto-Electronic Logic Device." In Photonic Switching. Washington, D.C.: Optica Publishing Group, 1987. http://dx.doi.org/10.1364/phs.1987.fa3.
Full textHagan, David J., M. J. Soileau, Yuan-Yen Wu, and Eric W. Van Stryland. "Semiconductor optical limiters with large dynamic range." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1986. http://dx.doi.org/10.1364/oam.1986.fg6.
Full textReports on the topic "Limiting absorption principle"
Lahav, Ori, Albert Heber, and David Broday. Elimination of emissions of ammonia and hydrogen sulfide from confined animal and feeding operations (CAFO) using an adsorption/liquid-redox process with biological regeneration. United States Department of Agriculture, March 2008. http://dx.doi.org/10.32747/2008.7695589.bard.
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