| Publication | Date of Publication | Type |
|---|
| Spreading and Extinction of Solutions to the Logarithmic Diffusion Equation with a Logistic Reaction | 2023-06-27 | Paper |
| Solutions with snaking singularities for the fast diffusion equation | 2022-11-17 | Paper |
| Anisotropic and isotropic persistent singularities of solutions of the fast diffusion equation. | 2022-09-12 | Paper |
| Convergence to a traveling wave in the lgarithmic diffusion equation with a bistable nonlinearity | 2022-04-19 | Paper |
| Probabilistic approach to the heat equation with a dynamic Hardy-type potential | 2022-02-11 | Paper |
| Anisotropic and isotropic persistent singularities of solutions of the fast diffusion equation | 2021-11-15 | Paper |
| Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials | 2021-10-21 | Paper |
| Isolated singularities in the heat equation behaving like fractional Brownian motions | 2021-08-25 | Paper |
| On the evolution equation with a dynamic Hardy-type potential | 2021-08-10 | Paper |
| Maximizing the total population with logistic growth in a patchy environment | 2021-01-28 | Paper |
| Moving singularities for nonlinear diffusion equations in two space dimensions | 2020-06-23 | Paper |
| Dynamics of interfaces in the Fisher-KPP equation for slowly decaying initial data | 2019-07-25 | Paper |
| Blow-up of sign-changing solutions for a one-dimensional nonlinear diffusion equation | 2019-07-17 | Paper |
| Higher-dimensional moving singularities in a superlinear parabolic equation | 2019-01-18 | Paper |
| Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups | 2019-01-14 | Paper |
| Solutions with moving singularities for equations of porous medium type | 2018-12-20 | Paper |
| Asymptotic behavior of solutions to the logarithmic diffusion equation with a linear source | 2018-09-26 | Paper |
| Maximization of the total population in a reaction-diffusion model with logistic growth | 2018-07-16 | Paper |
| Singular solutions of a superlinear parabolic equation with homogeneous Neumann boundary conditions | 2017-01-16 | Paper |
| Singular Solutions of the Scalar Field Equation with a Critical Exponent | 2016-11-14 | Paper |
| Time-dependent singularities in a semilinear parabolic equation with absorption | 2016-08-17 | Paper |
| Convergence rate to singular steady states in a semilinear parabolic equation | 2015-12-17 | Paper |
| Non-accessible singular homoclinic orbits for a semilinear parabolic equation. | 2015-05-06 | Paper |
| Instability of multi-spot patterns in shadow systems of reaction-diffusion equations | 2015-04-14 | Paper |
| Time-dependent singularities in the heat equation | 2015-04-14 | Paper |
| Localized Solutions of a Semilinear Parabolic Equation with a Recurrent Nonstationary Asymptotics | 2015-02-19 | Paper |
| Global unbounded solutions of the Fujita equation in the intermediate range | 2014-10-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5403894 | 2014-03-19 | Paper |
| Sharp decay estimates of \(L^q\)-norms for nonnegative Schrödinger heat semigroups | 2014-01-16 | Paper |
| Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity | 2013-07-08 | Paper |
| Appearance of anomalous singularities in a semilinear parabolic equation | 2013-04-29 | Paper |
| Rate of convergence to Barenblatt profiles for the fast diffusion equation | 2012-11-05 | Paper |
| Asymptotic behavior of singular solutions for a semilinear parabolic equation | 2012-08-30 | Paper |
| A solution to an Ambarzumyan problem on trees | 2012-08-29 | Paper |
| Homoclinic and heteroclinic orbits for a semilinear parabolic equation | 2012-03-21 | Paper |
| Very slow grow-up of solutions of a semi-linear parabolic equation | 2011-06-10 | Paper |
| Speeds of traveling waves in some integro-differential equations arising from neuronal networks | 2011-06-08 | Paper |
| Singular backward self-similar solutions of a semilinear parabolic equation | 2011-04-06 | Paper |
| Forward self-similar solution with a moving singularity for a semilinear parabolic equation | 2010-01-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5190943 | 2009-07-27 | Paper |
| Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation | 2009-07-06 | Paper |
| Convergence of solutions of a semilinear parabolic equation to selfsimilar solutions of the linear heat equation | 2009-06-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3621574 | 2009-04-21 | Paper |
| Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains | 2009-03-20 | Paper |
| Grow-up rate of solutions of a semilinear parabolic equation with a critical exponent | 2009-02-03 | Paper |
| Solutions with moving singularities for a semilinear parabolic equation | 2009-01-07 | Paper |
| Sharp estimates of the convergence rate for a semilinear parabolic equation with supercritical nonlinearity | 2008-10-21 | Paper |
| Convergence to self-similar solutions for a semilinear parabolic equation | 2008-07-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3512085 | 2008-07-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5455527 | 2008-04-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5447243 | 2008-03-06 | Paper |
| Linear behaviour of solutions of a superlinear heat equation | 2008-01-28 | Paper |
| Irregular behavior of solutions for Fisher's equation | 2008-01-21 | Paper |
| Slow convergence to zero for a parabolic equation with a supercritical nonlinearity | 2008-01-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3595742 | 2007-08-28 | Paper |
| Nonstabilizing solutions and grow-up set for a supercritical semilinear diffusion equation. | 2007-03-29 | Paper |
| Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics | 2007-02-05 | Paper |
| Krein's formula for indefinite multipliers in linear periodic Hamiltonian systems | 2007-01-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5394854 | 2006-11-01 | Paper |
| Optimal lower bound of the grow-up rate for a supercritical parabolic equation | 2006-09-28 | Paper |
| Uniqueness and profile of solutions for a superlinear elliptic equation | 2006-09-15 | Paper |
| Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation | 2006-06-09 | Paper |
| Structure of positive radial solutions including singular solutions to Matukuma's equation | 2006-01-23 | Paper |
| Convergence rate for a parabolic equation with supercritical nonlinearity | 2005-10-31 | Paper |
| Structure of the solution set for a vector valued elliptic boundary value problem with a Lipschitz nonlinear term | 2005-05-12 | Paper |
| Stability of stationary interfaces of binary-tree type | 2005-04-25 | Paper |
| A Liouville property and quasiconvergence for a semilinear heat equation | 2005-02-16 | Paper |
| Grow up rate of solutions for a supercritical semilinear diffusion equation | 2005-01-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4824327 | 2004-11-01 | Paper |
| On bounded and unbounded global solutions of a supercritical semilinear heat equation | 2004-07-07 | Paper |
| A remark on stable subharmonic solutions of time-periodic reaction--diffusion equations. | 2003-11-20 | Paper |
| A stability criterion for stationary curves to the curvature-driven motion with a triple junction. | 2003-11-17 | Paper |
| Structural change of solutions for a scalar curvature equation | 2003-07-30 | Paper |
| Reaction-diffusion systems with skew-gradient structure | 2003-05-26 | Paper |
| The Eckhaus and zigzag instability criteria in gradient/skew-gradient dissipative systems | 2003-01-07 | Paper |
| A unified approach to the structure of radial solutions for semilinear elliptic problems | 2002-12-19 | Paper |
| Canonical forms and structure theorems for radial solutions to semi-linear elliptic problems. | 2002-11-20 | Paper |
| Stability of nonconstant steady states in reaction-diffusion systems on graphs | 2002-11-13 | Paper |
| Life span of solutions with large initial data in a semilinear parabolic equation | 2002-11-02 | Paper |
| Life span of solutions for a semilinear parabolic problem with small diffusion | 2002-09-19 | Paper |
| Stable subharmonic solutions of reaction-diffusion equations on an arbitrary domain | 2002-09-19 | Paper |
| Mini-maximizers for reaction-diffusion systems with skew-gradient structure | 2002-09-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4331244 | 2002-05-15 | Paper |
| Existence of stable subharmonic solutions for reaction-diffusion equations | 2002-03-18 | Paper |
| Standing pulse solutions in reaction-diffusion systems with skew-gradient structure | 2002-03-13 | Paper |
| Monotonicity of stable solutions in shadow systems | 2001-10-21 | Paper |
| Stability of least energy patterns of the shadow system for an activator-inhibitor model. | 2001-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2742735 | 2001-09-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4495329 | 2001-08-16 | Paper |
| Global structure of solutions for equations of Brezis–Nirenberg type on the unit ball | 2001-07-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4519684 | 2001-04-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4513266 | 2001-03-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4762881 | 2001-02-22 | Paper |
| Global structure of self-similar solutions in a semilinear parabolic equation | 2000-12-14 | Paper |
| Extinction and blowup of positive radial solutions for a semilinear elliptic equation | 2000-06-09 | Paper |
| Critical exponents for the decay rate of solutions in a semilinear parabolic equation | 2000-06-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4948907 | 2000-04-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4935222 | 2000-01-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4703539 | 1999-12-15 | Paper |
| Critical exponents for the blowup of solutions with sign changes in a semilinear parabolic equation. II | 1999-11-11 | Paper |
| Diffusion-induced blowup in a nonlinear parabolic system | 1999-08-05 | Paper |
| Critical exponent for the bipolar blowup in a semilinear parabolic equation | 1999-06-21 | Paper |
| Eigenvalue problems in the whole space with radially symmetric weight | 1999-06-03 | Paper |
| Number of zeros of solutions to singular initial value problems | 1999-04-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3841916 | 1999-03-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3841919 | 1998-11-10 | Paper |
| Blowup and Life Span of Solutions for a Semilinear Parabolic Equation | 1998-09-21 | Paper |
| Diffusion-induced extinction of a superior species in a competition system | 1998-08-10 | Paper |
| Slow Dynamics of Interfaces in the Allen--Cahn Equation on a Strip-like Domain | 1998-05-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4364819 | 1998-04-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4376408 | 1998-03-15 | Paper |
| Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients | 1998-02-01 | Paper |
| Stability of Stationary Interfaces with Contact Angle in a Generalized Mean Curvature Flow | 1997-09-10 | Paper |
| Critical exponents for the blow-up of solutions with sign changes in a semilinear parabolic equation | 1997-07-06 | Paper |
| Blow-up of solutions with sign changes for a semilinear diffusion equation | 1997-04-29 | Paper |
| Global structure of positive solutions to equations of Matukuma type | 1996-12-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4872308 | 1996-10-24 | Paper |
| Existence of nodal fast-decay solutions to \(\text{div}(|\nabla u|^{m-2}\nabla u) + K(| x|)| u|^{q-1}u = 0\) in \(\mathbb{R}^ n\) | 1996-08-22 | Paper |
| Uniqueness of rapidly decaying solutions to the Haraux-Weissler equation | 1996-06-09 | Paper |
| Structure of Radial Solutions to $\Delta u + K(|x|)|u|^{p - 1} u = 0$ in ${\bf R}^n $ | 1996-01-01 | Paper |
| Instability of stationary solutions for equations of curvature-driven motion of curves | 1995-09-25 | Paper |
| Nonlinear Perturbation of Boundary Values for Reaction-Diffusion Systems: Inertial Manifolds and Their Applications | 1995-03-29 | Paper |
| Existence of positive radial solutions to \(\Delta u+K(| x| )u^ p=0\) in \(\mathbb R^ n\) | 1995-01-31 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4321133 | 1995-01-19 | Paper |
| Structure theorems for positive radial solutions to \(\text{div}(| Du|^{m-2} Du)+K(| x|)u^ q=0\) in \(\mathbb{R}^ n\) | 1994-12-15 | Paper |
| Dynamics of Interfaces in Competition-Diffusion Systems | 1994-12-14 | Paper |
| Sturmian theory for a class of nonlinear second-order differential equations | 1994-12-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4301025 | 1994-11-14 | Paper |
| Existence of nodal fast-decay solutions to Δu+K(|x|)|u|p−1u = 0 IN Rn | 1994-08-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4286822 | 1994-04-12 | Paper |
| Classification of the structure of positive radial solutions to \(\Delta u+K(| x|)u^ p=0\) in \(\mathbb{R}^ n\) | 1994-01-13 | Paper |
| Existence of non-constant stable equilibria in competition-diffusion equations | 1993-09-16 | Paper |
| Uniqueness of positive radial solutions of Δu+f(u,|xz.sfnc;)=0 | 1993-06-29 | Paper |
| On a stability property of double-pulse solutions in nerve axon equations | 1993-02-16 | Paper |
| Structure of positive radial solutions of Matukuma's equation | 1992-06-25 | Paper |
| Uniqueness of positive radial solutions of \(\Delta{} u + g(r)u + h(r)u^ p = 0\) in \(\mathbb{R}{}^ n\) | 1992-06-25 | Paper |
| Existence of stable stationary solutions of scalar reaction-diffusion equations in thin tubular domains | 1990-01-01 | Paper |
| Stability of travelling front solutions of the FitzHugh-Nagumo equations | 1989-01-01 | Paper |
| The asymptotic transectional/circumferential homogeneity of the solutions of reaction-diffusion systems in/on cylinder-like domains | 1989-01-01 | Paper |
| Stability of Double-Pulse Solutions in Nerve Axon Equations | 1989-01-01 | Paper |
| Existence of periodic travelling wave solutions of reaction-diffusion systems with fast-slow dynamics | 1988-01-01 | Paper |
| Branching of double pulse solutions from single pulse solutions in nerve axon equations | 1987-01-01 | Paper |
| Stability of fast travelling pulse solutions of the FitzHugh-Nagumo equations | 1985-01-01 | Paper |
| Stability of stationary distributions in a space-dependent population growth process | 1982-01-01 | Paper |
