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Critical exponents and traveling wavefronts of a degenerate-singular parabolic equation in non-divergence form
Infinite sum of the product of exponential and logarithmic functions, its analytic continuation, and application
1. | Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, California, 91125, United States, United States, United States |
2. | Hawaii Baptist Academy, 2429 Pali Highway, Honolulu, HI, 96817, United States |
[1] |
Y. T. Li, R. Wong. Integral and series representations of the dirac delta function. Communications on Pure and Applied Analysis, 2008, 7 (2) : 229-247. doi: 10.3934/cpaa.2008.7.229 |
[2] |
Gümrah Uysal. On a special class of modified integral operators preserving some exponential functions. Mathematical Foundations of Computing, 2022 doi: 10.3934/mfc.2021044 |
[3] |
Bai-Ni Guo, Feng Qi. Properties and applications of a function involving exponential functions. Communications on Pure and Applied Analysis, 2009, 8 (4) : 1231-1249. doi: 10.3934/cpaa.2009.8.1231 |
[4] |
Kateřina Škardová, Tomáš Oberhuber, Jaroslav Tintěra, Radomír Chabiniok. Signed-distance function based non-rigid registration of image series with varying image intensity. Discrete and Continuous Dynamical Systems - S, 2021, 14 (3) : 1145-1160. doi: 10.3934/dcdss.2020386 |
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Carlos Conca, Luis Friz, Jaime H. Ortega. Direct integral decomposition for periodic function spaces and application to Bloch waves. Networks and Heterogeneous Media, 2008, 3 (3) : 555-566. doi: 10.3934/nhm.2008.3.555 |
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Robert Stephen Cantrell, Suzanne Lenhart, Yuan Lou, Shigui Ruan. Preface on the special issue of Discrete and Continuous Dynamical Systems- Series B in honor of Chris Cosner on the occasion of his 60th birthday. Discrete and Continuous Dynamical Systems - B, 2014, 19 (10) : i-ii. doi: 10.3934/dcdsb.2014.19.1i |
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Josef Diblík, Zdeněk Svoboda. Asymptotic properties of delayed matrix exponential functions via Lambert function. Discrete and Continuous Dynamical Systems - B, 2018, 23 (1) : 123-144. doi: 10.3934/dcdsb.2018008 |
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Jeremy Levesley, Xinping Sun, Fahd Jarad, Alexander Kushpel. Interpolation of exponential-type functions on a uniform grid by shifts of a basis function. Discrete and Continuous Dynamical Systems - S, 2021, 14 (7) : 2399-2416. doi: 10.3934/dcdss.2020403 |
[9] |
Saima Rashid, Fahd Jarad, Zakia Hammouch. Some new bounds analogous to generalized proportional fractional integral operator with respect to another function. Discrete and Continuous Dynamical Systems - S, 2021, 14 (10) : 3703-3718. doi: 10.3934/dcdss.2021020 |
[10] |
Yipeng Chen, Yicheng Liu, Xiao Wang. Exponential stability for a multi-particle system with piecewise interaction function and stochastic disturbance. Evolution Equations and Control Theory, 2022, 11 (3) : 729-748. doi: 10.3934/eect.2021023 |
[11] |
Armengol Gasull, Francesc Mañosas. Subseries and signed series. Communications on Pure and Applied Analysis, 2019, 18 (1) : 479-492. doi: 10.3934/cpaa.2019024 |
[12] |
Yachun Li, Shengguo Zhu. Existence results for compressible radiation hydrodynamic equations with vacuum. Communications on Pure and Applied Analysis, 2015, 14 (3) : 1023-1052. doi: 10.3934/cpaa.2015.14.1023 |
[13] |
Leon Ehrenpreis. Special functions. Inverse Problems and Imaging, 2010, 4 (4) : 639-647. doi: 10.3934/ipi.2010.4.639 |
[14] |
Danthai Thongphiew, Vira Chankong, Fang-Fang Yin, Q. Jackie Wu. An on-line adaptive radiation therapy system for intensity modulated radiation therapy: An application of multi-objective optimization. Journal of Industrial and Management Optimization, 2008, 4 (3) : 453-475. doi: 10.3934/jimo.2008.4.453 |
[15] |
Sebastian Bauer. A non-relativistic model of plasma physics containing a radiation reaction term. Kinetic and Related Models, 2018, 11 (1) : 25-42. doi: 10.3934/krm.2018002 |
[16] |
Guangwei Yuan, Yanzhong Yao. Parallelization methods for solving three-temperature radiation-hydrodynamic problems. Discrete and Continuous Dynamical Systems - B, 2016, 21 (5) : 1651-1669. doi: 10.3934/dcdsb.2016016 |
[17] |
Josephus Hulshof, Pascal Noble. Travelling waves for a combustion model coupled with hyperbolic radiation moment models. Discrete and Continuous Dynamical Systems - B, 2008, 10 (1) : 73-90. doi: 10.3934/dcdsb.2008.10.73 |
[18] |
Meixia Xiao, Xianwen Zhang. On global solutions to the Vlasov-Poisson system with radiation damping. Kinetic and Related Models, 2018, 11 (5) : 1183-1209. doi: 10.3934/krm.2018046 |
[19] |
Claude-Michael Brauner, Josephus Hulshof, J.-F. Ripoll. Existence of travelling wave solutions in a combustion-radiation model. Discrete and Continuous Dynamical Systems - B, 2001, 1 (2) : 193-208. doi: 10.3934/dcdsb.2001.1.193 |
[20] |
Vladimir Dubinko. Mechanisms of recovery of radiation damage based on the interaction of quodons with crystal defects. Discrete and Continuous Dynamical Systems - S, 2011, 4 (5) : 1119-1128. doi: 10.3934/dcdss.2011.4.1119 |
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