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Critical exponents and traveling wavefronts of a degeneratesingular parabolic equation in nondivergence 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 
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Y. T. Li, R. Wong. Integral and series representations of the dirac delta function. Communications on Pure and Applied Analysis, 2008, 7 (2) : 229247. 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] 
BaiNi Guo, Feng Qi. Properties and applications of a function involving exponential functions. Communications on Pure and Applied Analysis, 2009, 8 (4) : 12311249. doi: 10.3934/cpaa.2009.8.1231 
[4] 
Kateřina Škardová, Tomáš Oberhuber, Jaroslav Tintěra, Radomír Chabiniok. Signeddistance function based nonrigid registration of image series with varying image intensity. Discrete and Continuous Dynamical Systems  S, 2021, 14 (3) : 11451160. 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) : 555566. 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) : iii. 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) : 123144. doi: 10.3934/dcdsb.2018008 
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Jeremy Levesley, Xinping Sun, Fahd Jarad, Alexander Kushpel. Interpolation of exponentialtype functions on a uniform grid by shifts of a basis function. Discrete and Continuous Dynamical Systems  S, 2021, 14 (7) : 23992416. doi: 10.3934/dcdss.2020403 
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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) : 37033718. doi: 10.3934/dcdss.2021020 
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Yipeng Chen, Yicheng Liu, Xiao Wang. Exponential stability for a multiparticle system with piecewise interaction function and stochastic disturbance. Evolution Equations and Control Theory, 2022, 11 (3) : 729748. doi: 10.3934/eect.2021023 
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Armengol Gasull, Francesc Mañosas. Subseries and signed series. Communications on Pure and Applied Analysis, 2019, 18 (1) : 479492. 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) : 10231052. doi: 10.3934/cpaa.2015.14.1023 
[13] 
Leon Ehrenpreis. Special functions. Inverse Problems and Imaging, 2010, 4 (4) : 639647. doi: 10.3934/ipi.2010.4.639 
[14] 
Danthai Thongphiew, Vira Chankong, FangFang Yin, Q. Jackie Wu. An online adaptive radiation therapy system for intensity modulated radiation therapy: An application of multiobjective optimization. Journal of Industrial and Management Optimization, 2008, 4 (3) : 453475. doi: 10.3934/jimo.2008.4.453 
[15] 
Sebastian Bauer. A nonrelativistic model of plasma physics containing a radiation reaction term. Kinetic and Related Models, 2018, 11 (1) : 2542. doi: 10.3934/krm.2018002 
[16] 
Guangwei Yuan, Yanzhong Yao. Parallelization methods for solving threetemperature radiationhydrodynamic problems. Discrete and Continuous Dynamical Systems  B, 2016, 21 (5) : 16511669. 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) : 7390. doi: 10.3934/dcdsb.2008.10.73 
[18] 
Meixia Xiao, Xianwen Zhang. On global solutions to the VlasovPoisson system with radiation damping. Kinetic and Related Models, 2018, 11 (5) : 11831209. doi: 10.3934/krm.2018046 
[19] 
ClaudeMichael Brauner, Josephus Hulshof, J.F. Ripoll. Existence of travelling wave solutions in a combustionradiation model. Discrete and Continuous Dynamical Systems  B, 2001, 1 (2) : 193208. 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) : 11191128. doi: 10.3934/dcdss.2011.4.1119 
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