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Blowup for nonlinear inequalities with gradient terms and singularities on unbounded sets
Estimates for solutions of nonautonomous semilinear illposed problems
1.  Division of Science and Engineering, Penn State Abington, 1600 Woodland Road, Abington, PA 19001 
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References:
[1] 
Matthew A. Fury. Regularization for illposed inhomogeneous evolution problems in a Hilbert space. Conference Publications, 2013, 2013 (special) : 259272. doi: 10.3934/proc.2013.2013.259 
[2] 
Eliane Bécache, Laurent Bourgeois, Lucas Franceschini, Jérémi Dardé. Application of mixed formulations of quasireversibility to solve illposed problems for heat and wave equations: The 1D case. Inverse Problems & Imaging, 2015, 9 (4) : 9711002. doi: 10.3934/ipi.2015.9.971 
[3] 
Stefan Kindermann. Convergence of the gradient method for illposed problems. Inverse Problems & Imaging, 2017, 11 (4) : 703720. doi: 10.3934/ipi.2017033 
[4] 
Sergiy Zhuk. Inverse problems for linear illposed differentialalgebraic equations with uncertain parameters. Conference Publications, 2011, 2011 (Special) : 14671476. doi: 10.3934/proc.2011.2011.1467 
[5] 
Paola Favati, Grazia Lotti, Ornella Menchi, Francesco Romani. An innerouter regularizing method for illposed problems. Inverse Problems & Imaging, 2014, 8 (2) : 409420. doi: 10.3934/ipi.2014.8.409 
[6] 
Misha Perepelitsa. An illposed problem for the NavierStokes equations for compressible flows. Discrete & Continuous Dynamical Systems  A, 2010, 26 (2) : 609623. doi: 10.3934/dcds.2010.26.609 
[7] 
Markus Haltmeier, Richard Kowar, Antonio Leitão, Otmar Scherzer. Kaczmarz methods for regularizing nonlinear illposed equations II: Applications. Inverse Problems & Imaging, 2007, 1 (3) : 507523. doi: 10.3934/ipi.2007.1.507 
[8] 
Olha P. Kupenko, Rosanna Manzo. On optimal controls in coefficients for illposed nonLinear elliptic Dirichlet boundary value problems. Discrete & Continuous Dynamical Systems  B, 2018, 23 (4) : 13631393. doi: 10.3934/dcdsb.2018155 
[9] 
Johann Baumeister, Barbara Kaltenbacher, Antonio Leitão. On LevenbergMarquardtKaczmarz iterative methods for solving systems of nonlinear illposed equations. Inverse Problems & Imaging, 2010, 4 (3) : 335350. doi: 10.3934/ipi.2010.4.335 
[10] 
Markus Haltmeier, Antonio Leitão, Otmar Scherzer. Kaczmarz methods for regularizing nonlinear illposed equations I: convergence analysis. Inverse Problems & Imaging, 2007, 1 (2) : 289298. doi: 10.3934/ipi.2007.1.289 
[11] 
Adriano De Cezaro, Johann Baumeister, Antonio Leitão. Modified iterated Tikhonov methods for solving systems of nonlinear illposed equations. Inverse Problems & Imaging, 2011, 5 (1) : 117. doi: 10.3934/ipi.2011.5.1 
[12] 
Guozhi Dong, Bert Jüttler, Otmar Scherzer, Thomas Takacs. Convergence of Tikhonov regularization for solving illposed operator equations with solutions defined on surfaces. Inverse Problems & Imaging, 2017, 11 (2) : 221246. doi: 10.3934/ipi.2017011 
[13] 
Youri V. Egorov, Evariste SanchezPalencia. Remarks on certain singular perturbations with illposed limit in shell theory and elasticity. Discrete & Continuous Dynamical Systems  A, 2011, 31 (4) : 12931305. doi: 10.3934/dcds.2011.31.1293 
[14] 
Alfredo Lorenzi, Luca Lorenzi. A strongly illposed integrodifferential singular parabolic problem in the unit cube of $\mathbb{R}^n$. Evolution Equations & Control Theory, 2014, 3 (3) : 499524. doi: 10.3934/eect.2014.3.499 
[15] 
Faker Ben Belgacem. Uniqueness for an illposed reactiondispersion model. Application to organic pollution in streamwaters. Inverse Problems & Imaging, 2012, 6 (2) : 163181. doi: 10.3934/ipi.2012.6.163 
[16] 
Jiongmin Yong. Forwardbackward evolution equations and applications. Mathematical Control & Related Fields, 2016, 6 (4) : 653704. doi: 10.3934/mcrf.2016019 
[17] 
Pavol Quittner. The decay of global solutions of a semilinear heat equation. Discrete & Continuous Dynamical Systems  A, 2008, 21 (1) : 307318. doi: 10.3934/dcds.2008.21.307 
[18] 
Shouwen Fang, Peng Zhu. Differential Harnack estimates for backward heat equations with potentials under geometric flows. Communications on Pure & Applied Analysis, 2015, 14 (3) : 793809. doi: 10.3934/cpaa.2015.14.793 
[19] 
Ping Lin. Feedback controllability for blowup points of semilinear heat equations. Discrete & Continuous Dynamical Systems  B, 2017, 22 (4) : 14251434. doi: 10.3934/dcdsb.2017068 
[20] 
Shota Sato, Eiji Yanagida. Singular backward selfsimilar solutions of a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  S, 2011, 4 (4) : 897906. doi: 10.3934/dcdss.2011.4.897 
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