Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary

Carmen Cortázar, Manuel Elgueta, Julio D. Rossi

Type: Article

Publication Date: 1999-07-01

Citations: 12

DOI: https://doi.org/10.1016/s0362-546x(98)00046-7

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Nonlinear Analysis - View

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Works That Cite This (12)

Action	Title	Year	Authors
+	Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions	2020	Alexander Gladkov Mohammed Guedda
+	Initial-Boundary-Value Problem for a Semilinear Parabolic Equation with Nonlinear Nonlocal Boundary Conditions	2016	Alexander Gladkov Tatiana Kavitova
+ PDF Chat	A Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions	2014	Alexander Gladkov A. I. Nikitin
+	A convex–concave problem with a nonlinear boundary condition	2003	Jesús García-Azorero Ireneo Peral Julio D. Rossi
+	On uniqueness for a semilinear parabolic system coupled in an equation and a boundary condition	2004	Matej Kordoš
+	Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition	2016	Alexander Gladkov
+	From critical exponents to blow-up rates for parabolic problems	1999	Miroslav Chlebík Марек Фила
+	Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions	2020	Alexander Gladkov Mohammed Guedda
+	Semilinear heat equation with absorption and a nonlocal boundary condition	2011	Alexander Gladkov M. Guedda
+	Initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition	2014	Alexander Gladkov Tatiana Kavitova

Works Cited by This (7)

Action	Title	Year	Authors
+	Nonlinear Parabolic and Elliptic Equations	1993	C. V. Pao
+ PDF Chat	Global existence and nonexistence for a parabolic system with nonlinear boundary conditions	1998	Julio D. Rossi Noemí Wolanski
+	Partial Differential Equations of Parabolic Type	1964	Avner Friedman
+ PDF Chat	A uniqueness result for a semilinear reaction-diffusion system	1991	Miguel Escobedo M. A. Herrero
+	On the uniqueness and non‐uniqueness of solutions of initial value problems for some quasi‐linear parabolic equations	1968	Hiroshi Fujita Satoshi Watanabe
+	Dynamic theory of quasilinear parabolic systems	1989	Herbert Amann
+	On the short-time behavior of the free boundary of a porous medium equation	1997	Carmen Cortázar Manuel del Pino Manuel Elgueta