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Applicable Analysis
An International Journal
Volume 18, 1984 - Issue 1-2
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Original Articles

Problems paraboliques semi-lineaires avec donnees measures

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Pages 111-149 | Published online: 02 May 2007

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Dieter Bothe, Michel Pierre & Guillaume Rolland. (2012) Cross-Diffusion Limit for a Reaction-Diffusion System with Fast Reversible Reaction. Communications in Partial Differential Equations 37:11, pages 1940-1966.
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Haifeng Shang. (2011) Evolution p-Laplacian equations with nonlinear source and measure data. Applicable Analysis 90:7, pages 1141-1149.
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Moshe Marcus & Laurent VEÉRON. (1999) Initial trace of positive solutions of some nonlinear parabolic equations. Communications in Partial Differential Equations 24:7-8, pages 1445-1499.
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Hideo Kozono & Masao Yamazaki. (1994) Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data. Communications in Partial Differential Equations 19:5-6, pages 959-1014.
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Katsuyuki Ishii, Michel Pierre & Takashi Suzuki. (2023) Quasilinear Parabolic Equations Associated with Semilinear Parabolic Equations. Mathematics 11:3, pages 758.
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Abderrahim Charkaoui & Nour Eddine Alaa. (2021) Nonnegative weak solution for a periodic parabolic equation with bounded Radon measure. Rendiconti del Circolo Matematico di Palermo Series 2 71:1, pages 459-467.
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Abderrahim Charkaoui, Ghada Kouadri & Nour Eddine Alaa. (2022) Some results on the existence of weak periodic solutions for quasilinear parabolic systems with L1 data. Boletim da Sociedade Paranaense de Matemática 40, pages 1-15.
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Huyuan Chen & Laurent Véron. (2019) Initial trace of positive solutions to fractional diffusion equations with absorption. Journal of Functional Analysis 276:4, pages 1145-1200.
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Alexandre Popier. (2017) Integro-partial differential equations with singular terminal condition. Nonlinear Analysis 155, pages 72-96.
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A. Matoussi, L. Piozin & A. Popier. (2017) Stochastic partial differential equations with singular terminal condition. Stochastic Processes and their Applications 127:3, pages 831-876.
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Marie-Françoise Bidaut-Véron & Quoc-Hung Nguyen. (2015) Evolution equations of p-Laplace type with absorption or source terms and measure data. Communications in Contemporary Mathematics 17:06, pages 1550006.
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S. Leonardi & J. Stará. (2012) Regularity results for solutions of a class of parabolic systems with measure data. Nonlinear Analysis: Theory, Methods & Applications 75:4, pages 2069-2089.
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Dieter Bothe & Michel Pierre. (2012) The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction. Discrete & Continuous Dynamical Systems - S 5:1, pages 49-59.
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Francesco Petitta, Augusto C. Ponce & Alessio Porretta. (2011) Diffuse measures and nonlinear parabolic equations. Journal of Evolution Equations 11:4, pages 861-905.
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Haifeng Shang. (2011) On the Cauchy problem for the singular parabolic equations with gradient term. Journal of Mathematical Analysis and Applications 378:2, pages 578-591.
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Boumediene Abdellaoui, Ireneo Peral & Ana Primo. (2010) Optimal results for parabolic problems arising in some physical models with critical growth in the gradient respect to a Hardy potential. Advances in Mathematics 225:6, pages 2967-3021.
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Paolo Podio-Guidugli, Tomáš Roubíček & Giuseppe Tomassetti. (2010) A Thermodynamically Consistent Theory of the Ferro/Paramagnetic Transition. Archive for Rational Mechanics and Analysis 198:3, pages 1057-1094.
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Michel Pierre. (2010) Global Existence in Reaction-Diffusion Systems with Control of Mass: a Survey. Milan Journal of Mathematics 78:2, pages 417-455.
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Dieter Bothe & Michel Pierre. (2010) Quasi-steady-state approximation for a reaction–diffusion system with fast intermediate. Journal of Mathematical Analysis and Applications 368:1, pages 120-132.
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Haifeng Shang & Fengquan Li. (2009) Singular parabolic equations with measures as initial data. Journal of Differential Equations 247:6, pages 1720-1745.
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W. Al Sayed, M. Jazar & L. Véron. (2008) Reduced measures associated with parabolic problems. Proceedings of the Steklov Institute of Mathematics 260:1, pages 3-24.
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Tomáš RoubÍček. (2007) Incompressible Ionized Non-Newtonian Fluid Mixtures. SIAM Journal on Mathematical Analysis 39:3, pages 863-890.
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A. Popier. (2006) Backward stochastic differential equations with singular terminal condition. Stochastic Processes and their Applications 116:12, pages 2014-2056.
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Moshe Marcus & Laurent Véron. (2006) Capacitary representation of positive solutions of semilinear parabolic equations. Comptes Rendus. Mathématique 342:9, pages 655-660.
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