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Existence and Asymptotic Behavior of Radially Symmetric Solutions to a Semilinear Hyperbolic System in Odd Space Dimensions

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Chinese Annals of Mathematics,Series B 2006年第5期27卷 507-538页

作者： hideo kubo Kji kuboTA Department of Mathematics Osaka University Machikaneyama 1-1ToyonakaOsaka 560-0043Japan Department of Mathematics Hokkaido University Sapporo 060-0810Japan

This paper is concerned with a class of semilinear hyperbolic systems in odd space dimensions. Our main aim is to prove the existence of a small amplitude solution which is asymptotic to the free solution as t →-∞ in the energy norm, and to show it has a free profile as t →＋∞. Our approach is based on the work of [11]. Namely we use a weighted L^∞ norm to get suitable a priori estimates. This can be done by restricting our attention to radially symmetric solutions. Corresponding initial value problem is also considered in an analogous framework. Besides, we give an extended result of [14] for three space dimensional case in Section 5, which is prepared independently of the other parts of the paper.

关键词： Semilinear wave equations Asymptotic behavior Radially symmetric solution

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Identification of telomere maintenance gene variations related to lung adenocarcinoma risk by genome-wide association and whole genome sequencing analyses

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Cancer Communications 2024年第2期44卷 287-293页

作者： Kouya Shiraishi Atsushi Takahashi Yukihide Momozawa Yataro Daigo Syuzo Kaneko Takahisa Kawaguchi hideo Kunitoh Shingo Matsumoto Hidehito Horinouchi Akiteru Goto Takayuki Honda Kimihiro Shimizu Masahiro Torasawa Daisuke Takayanagi Motonobu Saito Akira Saito Yuichiro Ohe Shun-ichi Watanabe Koichi Goto Masahiro Tsuboi Katsuya Tsuchihara Sadaaki Takata Tomomi Aoi Atsushi Takano Masashi Kobayashi Yohei Miyagi Kazumi Tanaka Hiroyuki Suzuki Daichi Maeda Takumi Yamaura Maiko Matsuda Yoko Shimada Takaaki Mizuno Hiromi Sakamoto Teruhiko Yoshida Yasushi Goto Tatsuya Yoshida Taiki Yamaji Makoto Sonobe Shinichi Toyooka Kazue Yoneda Katsuhiro Masago Fumihiro Tanaka Megumi Hara Nobuo Fuse Satoshi S.Nishizuka Noriko Motoi Norie Sawada Yuichiro Nishida Kazuki Kumada Kenji Takeuchi Kozo Tanno Yasushi Yatabe Kuniko Sunami Tomoyuki Hishida Yasunari Miyazaki Hidemi Ito Mitsuhiro Amemiya Hirohiko Totsuka Haruhiko Nakayama Tomoyuki Yokose Kazuyoshi Ishigaki Toshiteru Nagashima Yoichi Ohtaki Kazuhiro Imai Ken Takasawa Yoshihiro Minamiya Kazuma Kobayashi Kenichi Okubo Kenji Wakai Atsushi Shimizu Masayuki Yamamoto Motoki Iwasaki Koichi Matsuda Johji Inazawa Yuichi Shiraishi Hiroyoshi Nishikawa Yoshinori Murakami Michiaki kubo Fumihiko Matsuda Yoichiro Kamatani Ryuji Hamamoto Keitaro Matsuo Takashi Kohno Division of Genome Biology National Cancer Center Research InstituteTokyoJapan Department of Clinical Genomics National Cancer Center Research InstituteTokyoJapan Laboratory for Statistical Analysis Center for Integrative Medical SciencesRIKENYokohamaJapan Department of Genomic Medicine Research InstituteNational Cerebral and Cardiovascular CenterOsakaJapan Laboratory for Genotyping Development Center for Integrative Medical SciencesRIKENYokohamaJapan Center for Antibody and Vaccine Therapy Research HospitalInstitute of Medical ScienceThe University of TokyoTokyoJapan Department of Medical Oncology and Cancer Center and Center for Advanced Medicine against CancerShiga University of Medical ScienceOtsuJapan Division of Medical AI Research and Development National Cancer Center Research InstituteTokyoJapan Center for Genomic Medicine Graduate School of MedicineKyoto UniversityKyotoJapan Department of Medical Oncology Japanese Red Cross Medical CenterTokyoJapan Department of Thoracic Oncology National Cancer Center Hospital EastJapan Department of Thoracic Oncology National Cancer Center HospitalTokyoJapan Department of Cellular and Organ Pathology Graduate School of MedicineAkita UniversityAkitaJapan Department of Respiratory Medicine Tokyo Medical and Dental UniversityBunkyo-kuTokyoJapan Division of General Thoracic Surgery Department of SurgeryShinshu University School of MedicineMatsumotoNaganoJapan Department of General Surgical Science Division of General Thoracic SurgeryGunma University Graduate School of MedicineIntegrative Center of General SurgeryGunma University HospitalGunmaJapan Department of Gastrointestinal Tract Surgery Fukushima Medical University School of MedicineFukushimaJapan StaGen Co. LtdTokyoJapan Division of Thoracic Surgery National Cancer Center HospitalTokyoJapan Department of Thoracic Surgery National Cancer Center Hospital EastChibaJapan Division of Translational Informatics Exploratory Oncology Research and Clinical Trial Center(EPOC

Dear editor,Lung carcinoma is responsible for the highest fatal-ity rate among cancer-related deaths globally,with lung adenocarcinoma(LADC)emerging as the prevailing sub-type.

关键词： adenocarcinoma lung Lung

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