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Wellposedness results for phase field systems with memory effects in the order parameter dynamics
1.  Dipartimento di Matematica, Università di Ferrara, Via Machiavelli 35, I44100 Ferrara, Italy 
2.  Dipartimento di Matematica  Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133  Milano, Italy 
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Christian Beck, Lukas Gonon, Martin Hutzenthaler, Arnulf Jentzen. On existence and uniqueness properties for solutions of stochastic fixed point equations. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020320 
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Helmut Abels, Johannes Kampmann. Existence of weak solutions for a sharp interface model for phase separation on biological membranes. Discrete & Continuous Dynamical Systems  S, 2021, 14 (1) : 331351. doi: 10.3934/dcdss.2020325 
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Yichen Zhang, Meiqiang Feng. A coupled $ p $Laplacian elliptic system: Existence, uniqueness and asymptotic behavior. Electronic Research Archive, 2020, 28 (4) : 14191438. doi: 10.3934/era.2020075 
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Karoline Disser. Global existence and uniqueness for a volumesurface reactionnonlineardiffusion system. Discrete & Continuous Dynamical Systems  S, 2021, 14 (1) : 321330. doi: 10.3934/dcdss.2020326 
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Noriyoshi Fukaya. Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inversepower potential. Communications on Pure & Applied Analysis, 2021, 20 (1) : 121143. doi: 10.3934/cpaa.2020260 
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Zedong Yang, Guotao Wang, Ravi P. Agarwal, Haiyong Xu. Existence and nonexistence of entire positive radial solutions for a class of Schrödinger elliptic systems involving a nonlinear operator. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020436 
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Dorothee Knees, Chiara Zanini. Existence of parameterized BVsolutions for rateindependent systems with discontinuous loads. Discrete & Continuous Dynamical Systems  S, 2021, 14 (1) : 121149. doi: 10.3934/dcdss.2020332 
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Zhilei Liang, Jiangyu Shuai. Existence of strong solution for the Cauchy problem of fully compressible NavierStokes equations in two dimensions. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020348 
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Thabet Abdeljawad, Mohammad Esmael Samei. Applying quantum calculus for the existence of solution of $ q $integrodifferential equations with three criteria. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020440 
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Gongbao Li, Tao Yang. Improved Sobolev inequalities involving weighted Morrey norms and the existence of nontrivial solutions to doubly critical elliptic systems involving fractional Laplacian and Hardy terms. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020469 
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Tian Ma, Shouhong Wang. Topological phase transition III: Solar surface eruptions and sunspots. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020350 
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Helmut Abels, Andreas Marquardt. On a linearized MullinsSekerka/Stokes system for twophase flows. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020467 
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Mark F. Demers. Uniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic maps. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 217256. doi: 10.3934/dcds.2020217 
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Yongxiu Shi, Haitao Wan. Refined asymptotic behavior and uniqueness of large solutions to a quasilinear elliptic equation in a borderline case. Electronic Research Archive, , () : . doi: 10.3934/era.2020119 
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Lingju Kong, Roger Nichols. On principal eigenvalues of biharmonic systems. Communications on Pure & Applied Analysis, 2021, 20 (1) : 115. doi: 10.3934/cpaa.2020254 
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Ahmad Z. Fino, Wenhui Chen. A global existence result for twodimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain. Communications on Pure & Applied Analysis, 2020, 19 (12) : 53875411. doi: 10.3934/cpaa.2020243 
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Peizhao Yu, Guoshan Zhang, Yi Zhang. Decoupling of cubic polynomial matrix systems. Numerical Algebra, Control & Optimization, 2021, 11 (1) : 1326. doi: 10.3934/naco.2020012 
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2019 Impact Factor: 1.338
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